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Finding the Fourth Proportional to 341,378,015.70, 512,067,023.55 and 341,378,015.70

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Solution

The fourth proportional to 341,378,015.70, 512,067,023.55 and 341,378,015.70 is: 512,067,023.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,378,015.70 : 512,067,023.55 = 341,378,015.70 : x
  2. Step 2: Convert to fraction form
    341,378,015.70/512,067,023.55 = 341,378,015.70/x
  3. Step 3: Cross multiply
    341,378,015.70x = 512,067,023.55 × 341,378,015.70
  4. Step 4: Simplify right side
    341,378,015.70x = 174,808,424,404,904,160
  5. Step 5: Solve for x
    x = 174,808,424,404,904,160/341,378,015.70
  6. Step 6: Final answer
    x = 512,067,023.55

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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.