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Finding the Fourth Proportional to 256,344,538.80, 384,527,305.80 and 74,591,716.80

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Solution

The fourth proportional to 256,344,538.80, 384,527,305.80 and 74,591,716.80 is: 111,890,629.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,344,538.80 : 384,527,305.80 = 74,591,716.80 : x
  2. Step 2: Convert to fraction form
    256,344,538.80/384,527,305.80 = 74,591,716.80/x
  3. Step 3: Cross multiply
    256,344,538.80x = 384,527,305.80 × 74,591,716.80
  4. Step 4: Simplify right side
    256,344,538.80x = 28,682,551,896,100,596
  5. Step 5: Solve for x
    x = 28,682,551,896,100,596/256,344,538.80
  6. Step 6: Final answer
    x = 111,890,629.82

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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.