Finding the Fourth Proportional to 610,412,861,305.45, 915,619,291,958.17 and 252,145,764,102.70
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Solution
The fourth proportional to 610,412,861,305.45, 915,619,291,958.17 and 252,145,764,102.70 is: 378,218,646,154.05
Step by Step Solution
- Step 1: Write the proportion equation
610,412,861,305.45 : 915,619,291,958.17 = 252,145,764,102.70 : x - Step 2: Convert to fraction form
610,412,861,305.45/915,619,291,958.17 = 252,145,764,102.70/x - Step 3: Cross multiply
610,412,861,305.45x = 915,619,291,958.17 × 252,145,764,102.70 - Step 4: Simplify right side
610,412,861,305.45x = 230,869,525,997,965,962,903,552 - Step 5: Solve for x
x = 230,869,525,997,965,962,903,552/610,412,861,305.45 - Step 6: Final answer
x = 378,218,646,154.05
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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.