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Finding the Fourth Proportional to 267,462,002.40, 401,193,003.60 and 206,921,176.80

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Solution

The fourth proportional to 267,462,002.40, 401,193,003.60 and 206,921,176.80 is: 310,381,765.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,462,002.40 : 401,193,003.60 = 206,921,176.80 : x
  2. Step 2: Convert to fraction form
    267,462,002.40/401,193,003.60 = 206,921,176.80/x
  3. Step 3: Cross multiply
    267,462,002.40x = 401,193,003.60 × 206,921,176.80
  4. Step 4: Simplify right side
    267,462,002.40x = 83,015,328,428,838,640
  5. Step 5: Solve for x
    x = 83,015,328,428,838,640/267,462,002.40
  6. Step 6: Final answer
    x = 310,381,765.20

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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.