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Finding the Fourth Proportional to 546,268,866.90, 819,403,300.35 and 488,873,238.90

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Solution

The fourth proportional to 546,268,866.90, 819,403,300.35 and 488,873,238.90 is: 733,309,858.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,268,866.90 : 819,403,300.35 = 488,873,238.90 : x
  2. Step 2: Convert to fraction form
    546,268,866.90/819,403,300.35 = 488,873,238.90/x
  3. Step 3: Cross multiply
    546,268,866.90x = 819,403,300.35 × 488,873,238.90
  4. Step 4: Simplify right side
    546,268,866.90x = 400,584,345,407,454,016
  5. Step 5: Solve for x
    x = 400,584,345,407,454,016/546,268,866.90
  6. Step 6: Final answer
    x = 733,309,858.35

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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.