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Finding the Fourth Proportional to 680,315,451.33, 938,334,087.09 and 513,058,761.21

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Solution

The fourth proportional to 680,315,451.33, 938,334,087.09 and 513,058,761.21 is: 707,643,084.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,315,451.33 : 938,334,087.09 = 513,058,761.21 : x
  2. Step 2: Convert to fraction form
    680,315,451.33/938,334,087.09 = 513,058,761.21/x
  3. Step 3: Cross multiply
    680,315,451.33x = 938,334,087.09 × 513,058,761.21
  4. Step 4: Simplify right side
    680,315,451.33x = 481,420,524,323,511,680
  5. Step 5: Solve for x
    x = 481,420,524,323,511,680/680,315,451.33
  6. Step 6: Final answer
    x = 707,643,084.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.