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Finding the Fourth Proportional to 655,121,282.87, 983,169,978.37 and 480,695,046.53

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Solution

The fourth proportional to 655,121,282.87, 983,169,978.37 and 480,695,046.53 is: 721,400,679.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,121,282.87 : 983,169,978.37 = 480,695,046.53 : x
  2. Step 2: Convert to fraction form
    655,121,282.87/983,169,978.37 = 480,695,046.53/x
  3. Step 3: Cross multiply
    655,121,282.87x = 983,169,978.37 × 480,695,046.53
  4. Step 4: Simplify right side
    655,121,282.87x = 472,604,938,493,348,608
  5. Step 5: Solve for x
    x = 472,604,938,493,348,608/655,121,282.87
  6. Step 6: Final answer
    x = 721,400,679.31

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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.