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Finding the Fourth Proportional to 587,147,998.80, 880,721,998.20 and 178,203,493.20

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Solution

The fourth proportional to 587,147,998.80, 880,721,998.20 and 178,203,493.20 is: 267,305,239.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,147,998.80 : 880,721,998.20 = 178,203,493.20 : x
  2. Step 2: Convert to fraction form
    587,147,998.80/880,721,998.20 = 178,203,493.20/x
  3. Step 3: Cross multiply
    587,147,998.80x = 880,721,998.20 × 178,203,493.20
  4. Step 4: Simplify right side
    587,147,998.80x = 156,947,736,617,324,096
  5. Step 5: Solve for x
    x = 156,947,736,617,324,096/587,147,998.80
  6. Step 6: Final answer
    x = 267,305,239.80

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Why These Related Problems?

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