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Finding the Fourth Proportional to 410,691,380.71, 566,781,912.02 and 232,013,297.89

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Solution

The fourth proportional to 410,691,380.71, 566,781,912.02 and 232,013,297.89 is: 320,194,059.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,691,380.71 : 566,781,912.02 = 232,013,297.89 : x
  2. Step 2: Convert to fraction form
    410,691,380.71/566,781,912.02 = 232,013,297.89/x
  3. Step 3: Cross multiply
    410,691,380.71x = 566,781,912.02 × 232,013,297.89
  4. Step 4: Simplify right side
    410,691,380.71x = 131,500,940,592,578,496
  5. Step 5: Solve for x
    x = 131,500,940,592,578,496/410,691,380.71
  6. Step 6: Final answer
    x = 320,194,059.99

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Why These Related Problems?

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