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Finding the Fourth Proportional to 732,503,809.20, 1,098,755,713.80 and 676,383,639.60

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Solution

The fourth proportional to 732,503,809.20, 1,098,755,713.80 and 676,383,639.60 is: 1,014,575,459.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,503,809.20 : 1,098,755,713.80 = 676,383,639.60 : x
  2. Step 2: Convert to fraction form
    732,503,809.20/1,098,755,713.80 = 676,383,639.60/x
  3. Step 3: Cross multiply
    732,503,809.20x = 1,098,755,713.80 × 676,383,639.60
  4. Step 4: Simplify right side
    732,503,809.20x = 743,180,388,731,339,904
  5. Step 5: Solve for x
    x = 743,180,388,731,339,904/732,503,809.20
  6. Step 6: Final answer
    x = 1,014,575,459.40

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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.