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Finding the Fourth Proportional to 273,140,999.20, 409,711,498.80 and 273,140,999.20

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Solution

The fourth proportional to 273,140,999.20, 409,711,498.80 and 273,140,999.20 is: 409,711,498.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,140,999.20 : 409,711,498.80 = 273,140,999.20 : x
  2. Step 2: Convert to fraction form
    273,140,999.20/409,711,498.80 = 273,140,999.20/x
  3. Step 3: Cross multiply
    273,140,999.20x = 409,711,498.80 × 273,140,999.20
  4. Step 4: Simplify right side
    273,140,999.20x = 111,909,008,165,961,600
  5. Step 5: Solve for x
    x = 111,909,008,165,961,600/273,140,999.20
  6. Step 6: Final answer
    x = 409,711,498.80

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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.