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Finding the Fourth Proportional to 998,321,891.90, 1,377,642,822.89 and 546,197,641.02

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Solution

The fourth proportional to 998,321,891.90, 1,377,642,822.89 and 546,197,641.02 is: 753,730,100.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,321,891.90 : 1,377,642,822.89 = 546,197,641.02 : x
  2. Step 2: Convert to fraction form
    998,321,891.90/1,377,642,822.89 = 546,197,641.02/x
  3. Step 3: Cross multiply
    998,321,891.90x = 1,377,642,822.89 × 546,197,641.02
  4. Step 4: Simplify right side
    998,321,891.90x = 752,465,260,027,920,640
  5. Step 5: Solve for x
    x = 752,465,260,027,920,640/998,321,891.90
  6. Step 6: Final answer
    x = 753,730,100.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.