Finding the Fourth Proportional to 742,537,436,872, 1,112,669,336,246.20 and 499,614,768,952.12
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Solution
The fourth proportional to 742,537,436,872, 1,112,669,336,246.20 and 499,614,768,952.12 is: 748,657,247,088.52
Step by Step Solution
- Step 1: Write the proportion equation
742,537,436,872 : 1,112,669,336,246.20 = 499,614,768,952.12 : x - Step 2: Convert to fraction form
742,537,436,872/1,112,669,336,246.20 = 499,614,768,952.12/x - Step 3: Cross multiply
742,537,436,872x = 1,112,669,336,246.20 × 499,614,768,952.12 - Step 4: Simplify right side
742,537,436,872x = 555,906,033,348,753,921,933,312 - Step 5: Solve for x
x = 555,906,033,348,753,921,933,312/742,537,436,872 - Step 6: Final answer
x = 748,657,247,088.52
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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.