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Finding the Fourth Proportional to 651,730,472.20, 978,729,449.10 and 345,620,456.20

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Solution

The fourth proportional to 651,730,472.20, 978,729,449.10 and 345,620,456.20 is: 519,031,920.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,730,472.20 : 978,729,449.10 = 345,620,456.20 : x
  2. Step 2: Convert to fraction form
    651,730,472.20/978,729,449.10 = 345,620,456.20/x
  3. Step 3: Cross multiply
    651,730,472.20x = 978,729,449.10 × 345,620,456.20
  4. Step 4: Simplify right side
    651,730,472.20x = 338,268,918,694,316,672
  5. Step 5: Solve for x
    x = 338,268,918,694,316,672/651,730,472.20
  6. Step 6: Final answer
    x = 519,031,920.59

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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.