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Finding the Fourth Proportional to 155,532,652.20, 233,298,978.30 and 97,837,842.60

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Solution

The fourth proportional to 155,532,652.20, 233,298,978.30 and 97,837,842.60 is: 146,756,763.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,532,652.20 : 233,298,978.30 = 97,837,842.60 : x
  2. Step 2: Convert to fraction form
    155,532,652.20/233,298,978.30 = 97,837,842.60/x
  3. Step 3: Cross multiply
    155,532,652.20x = 233,298,978.30 × 97,837,842.60
  4. Step 4: Simplify right side
    155,532,652.20x = 22,825,468,717,656,216
  5. Step 5: Solve for x
    x = 22,825,468,717,656,216/155,532,652.20
  6. Step 6: Final answer
    x = 146,756,763.90

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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.