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Finding the Fourth Proportional to 546,268,885.90, 819,403,328.85 and 488,873,257.90

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Solution

The fourth proportional to 546,268,885.90, 819,403,328.85 and 488,873,257.90 is: 733,309,886.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,268,885.90 : 819,403,328.85 = 488,873,257.90 : x
  2. Step 2: Convert to fraction form
    546,268,885.90/819,403,328.85 = 488,873,257.90/x
  3. Step 3: Cross multiply
    546,268,885.90x = 819,403,328.85 × 488,873,257.90
  4. Step 4: Simplify right side
    546,268,885.90x = 400,584,374,909,004,544
  5. Step 5: Solve for x
    x = 400,584,374,909,004,544/546,268,885.90
  6. Step 6: Final answer
    x = 733,309,886.85

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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.