Finding the Fourth Proportional to 209,451,796,719.97, 314,177,699,231.84 and 50,274,896,082.16
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Solution
The fourth proportional to 209,451,796,719.97, 314,177,699,231.84 and 50,274,896,082.16 is: 75,412,345,119.82
Step by Step Solution
- Step 1: Write the proportion equation
209,451,796,719.97 : 314,177,699,231.84 = 50,274,896,082.16 : x - Step 2: Convert to fraction form
209,451,796,719.97/314,177,699,231.84 = 50,274,896,082.16/x - Step 3: Cross multiply
209,451,796,719.97x = 314,177,699,231.84 × 50,274,896,082.16 - Step 4: Simplify right side
209,451,796,719.97x = 15,795,251,180,212,878,049,280 - Step 5: Solve for x
x = 15,795,251,180,212,878,049,280/209,451,796,719.97 - Step 6: Final answer
x = 75,412,345,119.82
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.