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Finding the Fourth Proportional to 71,748,812.40, 100,221,589.20 and 71,748,812.40

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Solution

The fourth proportional to 71,748,812.40, 100,221,589.20 and 71,748,812.40 is: 100,221,589.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,748,812.40 : 100,221,589.20 = 71,748,812.40 : x
  2. Step 2: Convert to fraction form
    71,748,812.40/100,221,589.20 = 71,748,812.40/x
  3. Step 3: Cross multiply
    71,748,812.40x = 100,221,589.20 × 71,748,812.40
  4. Step 4: Simplify right side
    71,748,812.40x = 7,190,780,001,940,667
  5. Step 5: Solve for x
    x = 7,190,780,001,940,667/71,748,812.40
  6. Step 6: Final answer
    x = 100,221,589.20

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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.