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Finding the Fourth Proportional to 534,438,463.60, 801,657,695.40 and 482,782,398.40

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Solution

The fourth proportional to 534,438,463.60, 801,657,695.40 and 482,782,398.40 is: 724,173,597.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,438,463.60 : 801,657,695.40 = 482,782,398.40 : x
  2. Step 2: Convert to fraction form
    534,438,463.60/801,657,695.40 = 482,782,398.40/x
  3. Step 3: Cross multiply
    534,438,463.60x = 801,657,695.40 × 482,782,398.40
  4. Step 4: Simplify right side
    534,438,463.60x = 387,026,224,881,028,608
  5. Step 5: Solve for x
    x = 387,026,224,881,028,608/534,438,463.60
  6. Step 6: Final answer
    x = 724,173,597.60

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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.