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Finding the Fourth Proportional to 531,505,593.80, 797,258,390.70 and 488,507,424.20

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Solution

The fourth proportional to 531,505,593.80, 797,258,390.70 and 488,507,424.20 is: 732,761,136.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,505,593.80 : 797,258,390.70 = 488,507,424.20 : x
  2. Step 2: Convert to fraction form
    531,505,593.80/797,258,390.70 = 488,507,424.20/x
  3. Step 3: Cross multiply
    531,505,593.80x = 797,258,390.70 × 488,507,424.20
  4. Step 4: Simplify right side
    531,505,593.80x = 389,466,642,862,694,272
  5. Step 5: Solve for x
    x = 389,466,642,862,694,272/531,505,593.80
  6. Step 6: Final answer
    x = 732,761,136.30

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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.