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Finding the Fourth Proportional to 110,591,999.80, 165,887,999.70 and 50,125,823.80

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Solution

The fourth proportional to 110,591,999.80, 165,887,999.70 and 50,125,823.80 is: 75,188,735.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,591,999.80 : 165,887,999.70 = 50,125,823.80 : x
  2. Step 2: Convert to fraction form
    110,591,999.80/165,887,999.70 = 50,125,823.80/x
  3. Step 3: Cross multiply
    110,591,999.80x = 165,887,999.70 × 50,125,823.80
  4. Step 4: Simplify right side
    110,591,999.80x = 8,315,272,643,496,652
  5. Step 5: Solve for x
    x = 8,315,272,643,496,652/110,591,999.80
  6. Step 6: Final answer
    x = 75,188,735.70

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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.