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Finding the Fourth Proportional to 26,920,512,003.85, 40,380,768,005.78 and 26,920,512,003.85

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Solution

The fourth proportional to 26,920,512,003.85, 40,380,768,005.78 and 26,920,512,003.85 is: 40,380,768,005.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,920,512,003.85 : 40,380,768,005.78 = 26,920,512,003.85 : x
  2. Step 2: Convert to fraction form
    26,920,512,003.85/40,380,768,005.78 = 26,920,512,003.85/x
  3. Step 3: Cross multiply
    26,920,512,003.85x = 40,380,768,005.78 × 26,920,512,003.85
  4. Step 4: Simplify right side
    26,920,512,003.85x = 1,087,070,949,824,282,361,856
  5. Step 5: Solve for x
    x = 1,087,070,949,824,282,361,856/26,920,512,003.85
  6. Step 6: Final answer
    x = 40,380,768,005.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.