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Finding the Fourth Proportional to 735,893,312.12, 1,104,605,593.50 and 542,023,635.32

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Solution

The fourth proportional to 735,893,312.12, 1,104,605,593.50 and 542,023,635.32 is: 813,599,375.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,893,312.12 : 1,104,605,593.50 = 542,023,635.32 : x
  2. Step 2: Convert to fraction form
    735,893,312.12/1,104,605,593.50 = 542,023,635.32/x
  3. Step 3: Cross multiply
    735,893,312.12x = 1,104,605,593.50 × 542,023,635.32
  4. Step 4: Simplify right side
    735,893,312.12x = 598,722,339,383,676,160
  5. Step 5: Solve for x
    x = 598,722,339,383,676,160/735,893,312.12
  6. Step 6: Final answer
    x = 813,599,375.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.