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Finding the Fourth Proportional to 425,413,609,879.40, 638,120,414,819.10 and 425,413,609,879.40

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Solution

The fourth proportional to 425,413,609,879.40, 638,120,414,819.10 and 425,413,609,879.40 is: 638,120,414,819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,413,609,879.40 : 638,120,414,819.10 = 425,413,609,879.40 : x
  2. Step 2: Convert to fraction form
    425,413,609,879.40/638,120,414,819.10 = 425,413,609,879.40/x
  3. Step 3: Cross multiply
    425,413,609,879.40x = 638,120,414,819.10 × 425,413,609,879.40
  4. Step 4: Simplify right side
    425,413,609,879.40x = 271,465,109,205,933,505,904,640
  5. Step 5: Solve for x
    x = 271,465,109,205,933,505,904,640/425,413,609,879.40
  6. Step 6: Final answer
    x = 638,120,414,819.10

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1.5x scale

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.