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Finding the Fourth Proportional to 598,766,981.60, 898,150,472.40 and 437,523,845.60

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Solution

The fourth proportional to 598,766,981.60, 898,150,472.40 and 437,523,845.60 is: 656,285,768.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,766,981.60 : 898,150,472.40 = 437,523,845.60 : x
  2. Step 2: Convert to fraction form
    598,766,981.60/898,150,472.40 = 437,523,845.60/x
  3. Step 3: Cross multiply
    598,766,981.60x = 898,150,472.40 × 437,523,845.60
  4. Step 4: Simplify right side
    598,766,981.60x = 392,962,248,611,904,704
  5. Step 5: Solve for x
    x = 392,962,248,611,904,704/598,766,981.60
  6. Step 6: Final answer
    x = 656,285,768.40

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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.