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Finding the Fourth Proportional to 267,746,015.70, 401,619,023.55 and 267,746,015.70

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Solution

The fourth proportional to 267,746,015.70, 401,619,023.55 and 267,746,015.70 is: 401,619,023.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,746,015.70 : 401,619,023.55 = 267,746,015.70 : x
  2. Step 2: Convert to fraction form
    267,746,015.70/401,619,023.55 = 267,746,015.70/x
  3. Step 3: Cross multiply
    267,746,015.70x = 401,619,023.55 × 267,746,015.70
  4. Step 4: Simplify right side
    267,746,015.70x = 107,531,893,384,836,976
  5. Step 5: Solve for x
    x = 107,531,893,384,836,976/267,746,015.70
  6. Step 6: Final answer
    x = 401,619,023.55

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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.