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Finding the Fourth Proportional to 978,802,281.60, 1,468,203,422.40 and 591,818,755.20

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Solution

The fourth proportional to 978,802,281.60, 1,468,203,422.40 and 591,818,755.20 is: 887,728,132.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,802,281.60 : 1,468,203,422.40 = 591,818,755.20 : x
  2. Step 2: Convert to fraction form
    978,802,281.60/1,468,203,422.40 = 591,818,755.20/x
  3. Step 3: Cross multiply
    978,802,281.60x = 1,468,203,422.40 × 591,818,755.20
  4. Step 4: Simplify right side
    978,802,281.60x = 868,910,321,825,147,904
  5. Step 5: Solve for x
    x = 868,910,321,825,147,904/978,802,281.60
  6. Step 6: Final answer
    x = 887,728,132.80

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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.