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The exchange rate from Alphas to Betas is $$ Alpha coin to $$ Beta coins. The exchange rate from Betas to Gammas is $$ Beta coins to $$ Gamma coins. What is the exchange rate from Gammas to Alphas?

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Final answer:

To find the exchange rate from Gammas to Alphas, multiply the given exchange rates and simplify the fraction.

Step-by-step explanation:

To find the exchange rate from Gammas to Alphas, we need to consider the two given exchange rates. Let's say the exchange rate from Alphas to Betas is 2 Alpha coins to 3 Beta coins, and the exchange rate from Betas to Gammas is 4 Beta coins to 5 Gamma coins. To find the exchange rate from Gammas to Alphas, we can multiply these two exchange rates: (2 Alpha coins / 3 Beta coins) multiplied by (4 Beta coins / 5 Gamma coins). Simplifying this fraction gives us (8 Alpha coins / 15 Gamma coins). Therefore, the exchange rate from Gammas to Alphas is 8 Alpha coins to 15 Gamma coins.

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