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Finding the Fourth Proportional to 171,098,914.20, 256,648,371.30 and 165,052,296.60

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Solution

The fourth proportional to 171,098,914.20, 256,648,371.30 and 165,052,296.60 is: 247,578,444.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,098,914.20 : 256,648,371.30 = 165,052,296.60 : x
  2. Step 2: Convert to fraction form
    171,098,914.20/256,648,371.30 = 165,052,296.60/x
  3. Step 3: Cross multiply
    171,098,914.20x = 256,648,371.30 × 165,052,296.60
  4. Step 4: Simplify right side
    171,098,914.20x = 42,360,403,101,714,528
  5. Step 5: Solve for x
    x = 42,360,403,101,714,528/171,098,914.20
  6. Step 6: Final answer
    x = 247,578,444.90

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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.