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Finding the Fourth Proportional to 232,715,542,432.73, 349,073,313,649.09 and 232,715,542,432.73

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Solution

The fourth proportional to 232,715,542,432.73, 349,073,313,649.09 and 232,715,542,432.73 is: 349,073,313,649.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,715,542,432.73 : 349,073,313,649.09 = 232,715,542,432.73 : x
  2. Step 2: Convert to fraction form
    232,715,542,432.73/349,073,313,649.09 = 232,715,542,432.73/x
  3. Step 3: Cross multiply
    232,715,542,432.73x = 349,073,313,649.09 × 232,715,542,432.73
  4. Step 4: Simplify right side
    232,715,542,432.73x = 81,234,785,534,638,490,124,288
  5. Step 5: Solve for x
    x = 81,234,785,534,638,490,124,288/232,715,542,432.73
  6. Step 6: Final answer
    x = 349,073,313,649.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.