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Finding the Fourth Proportional to 206,584,458,843.90, 309,876,688,265.85 and 206,584,458,843.90

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Solution

The fourth proportional to 206,584,458,843.90, 309,876,688,265.85 and 206,584,458,843.90 is: 309,876,688,265.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,584,458,843.90 : 309,876,688,265.85 = 206,584,458,843.90 : x
  2. Step 2: Convert to fraction form
    206,584,458,843.90/309,876,688,265.85 = 206,584,458,843.90/x
  3. Step 3: Cross multiply
    206,584,458,843.90x = 309,876,688,265.85 × 206,584,458,843.90
  4. Step 4: Simplify right side
    206,584,458,843.90x = 64,015,707,953,740,512,231,424
  5. Step 5: Solve for x
    x = 64,015,707,953,740,512,231,424/206,584,458,843.90
  6. Step 6: Final answer
    x = 309,876,688,265.85

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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.