Finding the Fourth Proportional to 756,165,074,549.55, 1,043,510,946,837.10 and 408,935,353,438.14
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Solution
The fourth proportional to 756,165,074,549.55, 1,043,510,946,837.10 and 408,935,353,438.14 is: 564,332,488,002.84
Step by Step Solution
- Step 1: Write the proportion equation
756,165,074,549.55 : 1,043,510,946,837.10 = 408,935,353,438.14 : x - Step 2: Convert to fraction form
756,165,074,549.55/1,043,510,946,837.10 = 408,935,353,438.14/x - Step 3: Cross multiply
756,165,074,549.55x = 1,043,510,946,837.10 × 408,935,353,438.14 - Step 4: Simplify right side
756,165,074,549.55x = 426,728,517,861,397,642,608,640 - Step 5: Solve for x
x = 426,728,517,861,397,642,608,640/756,165,074,549.55 - Step 6: Final answer
x = 564,332,488,002.84
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.