Finding the Fourth Proportional to 1,747,125,419.28, 2,411,092,569.69 and 1,033,272,901.10
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Solution
The fourth proportional to 1,747,125,419.28, 2,411,092,569.69 and 1,033,272,901.10 is: 1,425,951,787.32
Step by Step Solution
- Step 1: Write the proportion equation
1,747,125,419.28 : 2,411,092,569.69 = 1,033,272,901.10 : x - Step 2: Convert to fraction form
1,747,125,419.28/2,411,092,569.69 = 1,033,272,901.10/x - Step 3: Cross multiply
1,747,125,419.28x = 2,411,092,569.69 × 1,033,272,901.10 - Step 4: Simplify right side
1,747,125,419.28x = 2,491,316,614,292,185,088 - Step 5: Solve for x
x = 2,491,316,614,292,185,088/1,747,125,419.28 - Step 6: Final answer
x = 1,425,951,787.32
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1.5x scale
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.