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Finding the Fourth Proportional to 110,714,652.30, 166,071,978.45 and 80,103,650.70

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Solution

The fourth proportional to 110,714,652.30, 166,071,978.45 and 80,103,650.70 is: 120,155,476.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,714,652.30 : 166,071,978.45 = 80,103,650.70 : x
  2. Step 2: Convert to fraction form
    110,714,652.30/166,071,978.45 = 80,103,650.70/x
  3. Step 3: Cross multiply
    110,714,652.30x = 166,071,978.45 × 80,103,650.70
  4. Step 4: Simplify right side
    110,714,652.30x = 13,302,971,752,816,726
  5. Step 5: Solve for x
    x = 13,302,971,752,816,726/110,714,652.30
  6. Step 6: Final answer
    x = 120,155,476.05

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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.