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Finding the Fourth Proportional to 650,945,331.20, 897,449,765.76 and 469,740,253.76

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Solution

The fourth proportional to 650,945,331.20, 897,449,765.76 and 469,740,253.76 is: 647,624,709.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,945,331.20 : 897,449,765.76 = 469,740,253.76 : x
  2. Step 2: Convert to fraction form
    650,945,331.20/897,449,765.76 = 469,740,253.76/x
  3. Step 3: Cross multiply
    650,945,331.20x = 897,449,765.76 × 469,740,253.76
  4. Step 4: Simplify right side
    650,945,331.20x = 421,568,280,704,954,944
  5. Step 5: Solve for x
    x = 421,568,280,704,954,944/650,945,331.20
  6. Step 6: Final answer
    x = 647,624,709.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.