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Finding the Fourth Proportional to 267,146,230.40, 400,719,345.60 and 267,146,230.40

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Solution

The fourth proportional to 267,146,230.40, 400,719,345.60 and 267,146,230.40 is: 400,719,345.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,146,230.40 : 400,719,345.60 = 267,146,230.40 : x
  2. Step 2: Convert to fraction form
    267,146,230.40/400,719,345.60 = 267,146,230.40/x
  3. Step 3: Cross multiply
    267,146,230.40x = 400,719,345.60 × 267,146,230.40
  4. Step 4: Simplify right side
    267,146,230.40x = 107,050,662,625,394,832
  5. Step 5: Solve for x
    x = 107,050,662,625,394,832/267,146,230.40
  6. Step 6: Final answer
    x = 400,719,345.60

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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.