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Finding the Fourth Proportional to 86,206,847.30, 129,310,270.96 and 86,206,847.30

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Solution

The fourth proportional to 86,206,847.30, 129,310,270.96 and 86,206,847.30 is: 129,310,270.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,206,847.30 : 129,310,270.96 = 86,206,847.30 : x
  2. Step 2: Convert to fraction form
    86,206,847.30/129,310,270.96 = 86,206,847.30/x
  3. Step 3: Cross multiply
    86,206,847.30x = 129,310,270.96 × 86,206,847.30
  4. Step 4: Simplify right side
    86,206,847.30x = 11,147,430,782,970,344
  5. Step 5: Solve for x
    x = 11,147,430,782,970,344/86,206,847.30
  6. Step 6: Final answer
    x = 129,310,270.96

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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.