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Finding the Fourth Proportional to 6,924,335.20, 10,386,502.80 and 6,924,335.20

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Solution

The fourth proportional to 6,924,335.20, 10,386,502.80 and 6,924,335.20 is: 10,386,502.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924,335.20 : 10,386,502.80 = 6,924,335.20 : x
  2. Step 2: Convert to fraction form
    6,924,335.20/10,386,502.80 = 6,924,335.20/x
  3. Step 3: Cross multiply
    6,924,335.20x = 10,386,502.80 × 6,924,335.20
  4. Step 4: Simplify right side
    6,924,335.20x = 71,919,626,942,938.56
  5. Step 5: Solve for x
    x = 71,919,626,942,938.56/6,924,335.20
  6. Step 6: Final answer
    x = 10,386,502.80

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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.