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Finding the Fourth Proportional to 12,740,584.30, 17,887,206.50 and 12,740,584.30

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Solution

The fourth proportional to 12,740,584.30, 17,887,206.50 and 12,740,584.30 is: 17,887,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,740,584.30 : 17,887,206.50 = 12,740,584.30 : x
  2. Step 2: Convert to fraction form
    12,740,584.30/17,887,206.50 = 12,740,584.30/x
  3. Step 3: Cross multiply
    12,740,584.30x = 17,887,206.50 × 12,740,584.30
  4. Step 4: Simplify right side
    12,740,584.30x = 227,893,462,304,757.97
  5. Step 5: Solve for x
    x = 227,893,462,304,757.97/12,740,584.30
  6. Step 6: Final answer
    x = 17,887,206.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.