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Finding the Fourth Proportional to 267,462,002.48, 401,193,003.71 and 267,462,002.48

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Solution

The fourth proportional to 267,462,002.48, 401,193,003.71 and 267,462,002.48 is: 401,193,003.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,462,002.48 : 401,193,003.71 = 267,462,002.48 : x
  2. Step 2: Convert to fraction form
    267,462,002.48/401,193,003.71 = 267,462,002.48/x
  3. Step 3: Cross multiply
    267,462,002.48x = 401,193,003.71 × 267,462,002.48
  4. Step 4: Simplify right side
    267,462,002.48x = 107,303,884,151,905,344
  5. Step 5: Solve for x
    x = 107,303,884,151,905,344/267,462,002.48
  6. Step 6: Final answer
    x = 401,193,003.71

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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.