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Finding the Fourth Proportional to 864,454,593.11, 1,192,947,738.20 and 467,977,583.10

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Solution

The fourth proportional to 864,454,593.11, 1,192,947,738.20 and 467,977,583.10 is: 645,809,281.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,454,593.11 : 1,192,947,738.20 = 467,977,583.10 : x
  2. Step 2: Convert to fraction form
    864,454,593.11/1,192,947,738.20 = 467,977,583.10/x
  3. Step 3: Cross multiply
    864,454,593.11x = 1,192,947,738.20 × 467,977,583.10
  4. Step 4: Simplify right side
    864,454,593.11x = 558,272,799,288,617,536
  5. Step 5: Solve for x
    x = 558,272,799,288,617,536/864,454,593.11
  6. Step 6: Final answer
    x = 645,809,281.07

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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.