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Finding the Fourth Proportional to 732,503,864.70, 1,098,755,797.05 and 676,383,695.10

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Solution

The fourth proportional to 732,503,864.70, 1,098,755,797.05 and 676,383,695.10 is: 1,014,575,542.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,503,864.70 : 1,098,755,797.05 = 676,383,695.10 : x
  2. Step 2: Convert to fraction form
    732,503,864.70/1,098,755,797.05 = 676,383,695.10/x
  3. Step 3: Cross multiply
    732,503,864.70x = 1,098,755,797.05 × 676,383,695.10
  4. Step 4: Simplify right side
    732,503,864.70x = 743,180,506,021,224,704
  5. Step 5: Solve for x
    x = 743,180,506,021,224,704/732,503,864.70
  6. Step 6: Final answer
    x = 1,014,575,542.65

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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.