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Finding the Fourth Proportional to 651,725,158.20, 978,721,478.10 and 345,615,142.20

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Solution

The fourth proportional to 651,725,158.20, 978,721,478.10 and 345,615,142.20 is: 519,023,945.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,725,158.20 : 978,721,478.10 = 345,615,142.20 : x
  2. Step 2: Convert to fraction form
    651,725,158.20/978,721,478.10 = 345,615,142.20/x
  3. Step 3: Cross multiply
    651,725,158.20x = 978,721,478.10 × 345,615,142.20
  4. Step 4: Simplify right side
    651,725,158.20x = 338,260,962,827,725,696
  5. Step 5: Solve for x
    x = 338,260,962,827,725,696/651,725,158.20
  6. Step 6: Final answer
    x = 519,023,945.25

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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.