For a refreshing and delightful Matcha Green Tea Cake suitable for serving 50 people, you’ll want to prepare a recipe that balances the unique earthiness of matcha with just the right amount of sweetness. Here’s a detailed recipe that’s scaled up appropriately.

### Ingredients
– **450g all-purpose flour**
– **450g granulated sugar**
– **250g unsalted butter, room temperature**
– **360ml milk**
– **6 large eggs**
– **25g matcha green tea powder**
– **3 tsp baking powder**
– **1 tsp salt**
– **2 tsp vanilla extract**

### For the Matcha Frosting:
– **500g powdered sugar**
– **230g unsalted butter, softened**
– **2 tbsp matcha green tea powder**
– **3-5 tbsp cream or milk, as needed for consistency**
– **1 tsp vanilla extract**

### Instructions

1. **Preheat Oven and Prepare Pans:**
   – Preheat your oven to 175°C (350°F).
   – Grease and flour two large 9×13 inch cake pans.

2. **Mix Dry Ingredients:**
   – In a bowl, sift together the flour, matcha powder, baking powder, and salt.

3. **Cream Butter and Sugar:**
   – In a large mixing bowl, beat the butter and sugar together until light and fluffy, about 4-5 minutes with an electric mixer.

4. **Add Eggs:**
   – Beat in the eggs one at a time, ensuring each is fully incorporated before adding the next. Stir in the vanilla extract.

5. **Combine Dry and Wet Ingredients:**
   – Alternately add the dry ingredients and milk to the creamed mixture, starting and ending with the dry ingredients. Mix until just combined but do not overmix.

6. **Bake:**
   – Divide the batter evenly between the prepared pans.
   – Bake for 25-30 minutes, or until a toothpick inserted into the center comes out clean.

7. **Prepare Matcha Frosting:**
   – In a mixing bowl, beat the softened butter until smooth.
   – Gradually add powdered sugar, matcha powder, and vanilla extract. Add cream or milk gradually until the frosting reaches a spreadable consistency.

8. **Cool and Frost:**
   – Let the cakes cool completely in the pans on a wire rack.
   – Once cooled, frost one layer, then place the second layer on top and continue frosting the top and sides of the cake.

9. **Final Touches:**
   – If desired, dust the top of the cake with a little additional matcha powder for a vibrant color contrast.

10. **Serve:**
    – Cut into pieces ensuring each guest gets a slice. For 50 servings, you might consider cutting each 9×13 inch cake into 25 squares.

This Matcha Green Tea Cake offers a rich taste with vibrant colors, perfect for large gatherings or special occasions where you want to impress with something a bit different. The earthy tones of matcha paired with sweet vanilla offer a balanced flavor profile ideal for a diverse palate.