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Finding the Fourth Proportional to 1,099,847,374.60, 1,517,797,272.68 and 598,052,562.52

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Solution

The fourth proportional to 1,099,847,374.60, 1,517,797,272.68 and 598,052,562.52 is: 825,316,829.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,847,374.60 : 1,517,797,272.68 = 598,052,562.52 : x
  2. Step 2: Convert to fraction form
    1,099,847,374.60/1,517,797,272.68 = 598,052,562.52/x
  3. Step 3: Cross multiply
    1,099,847,374.60x = 1,517,797,272.68 × 598,052,562.52
  4. Step 4: Simplify right side
    1,099,847,374.60x = 907,722,548,312,141,184
  5. Step 5: Solve for x
    x = 907,722,548,312,141,184/1,099,847,374.60
  6. Step 6: Final answer
    x = 825,316,829.66

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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.