Finding the Fourth Proportional to 493,101,366.14, 740,832,033.54 and 316,185,126.17
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Solution
The fourth proportional to 493,101,366.14, 740,832,033.54 and 316,185,126.17 is: 475,034,315.62
Step by Step Solution
- Step 1: Write the proportion equation
493,101,366.14 : 740,832,033.54 = 316,185,126.17 : x - Step 2: Convert to fraction form
493,101,366.14/740,832,033.54 = 316,185,126.17/x - Step 3: Cross multiply
493,101,366.14x = 740,832,033.54 × 316,185,126.17 - Step 4: Simplify right side
493,101,366.14x = 234,240,069,997,474,656 - Step 5: Solve for x
x = 234,240,069,997,474,656/493,101,366.14 - Step 6: Final answer
x = 475,034,315.62
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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.