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Finding the Fourth Proportional to 256,639,188.96, 384,981,405.12 and 72,408,278.88

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Solution

The fourth proportional to 256,639,188.96, 384,981,405.12 and 72,408,278.88 is: 108,618,800.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,639,188.96 : 384,981,405.12 = 72,408,278.88 : x
  2. Step 2: Convert to fraction form
    256,639,188.96/384,981,405.12 = 72,408,278.88/x
  3. Step 3: Cross multiply
    256,639,188.96x = 384,981,405.12 × 72,408,278.88
  4. Step 4: Simplify right side
    256,639,188.96x = 27,875,840,945,543,220
  5. Step 5: Solve for x
    x = 27,875,840,945,543,220/256,639,188.96
  6. Step 6: Final answer
    x = 108,618,800.81

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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.