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Finding the Fourth Proportional to 598,766,970.60, 898,150,455.90 and 437,523,834.60

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Solution

The fourth proportional to 598,766,970.60, 898,150,455.90 and 437,523,834.60 is: 656,285,751.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,766,970.60 : 898,150,455.90 = 437,523,834.60 : x
  2. Step 2: Convert to fraction form
    598,766,970.60/898,150,455.90 = 437,523,834.60/x
  3. Step 3: Cross multiply
    598,766,970.60x = 898,150,455.90 × 437,523,834.60
  4. Step 4: Simplify right side
    598,766,970.60x = 392,962,231,513,106,176
  5. Step 5: Solve for x
    x = 392,962,231,513,106,176/598,766,970.60
  6. Step 6: Final answer
    x = 656,285,751.90

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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.