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Finding the Fourth Proportional to 26,920,512,171.60, 40,380,768,257.40 and 26,920,512,171.60

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Solution

The fourth proportional to 26,920,512,171.60, 40,380,768,257.40 and 26,920,512,171.60 is: 40,380,768,257.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,920,512,171.60 : 40,380,768,257.40 = 26,920,512,171.60 : x
  2. Step 2: Convert to fraction form
    26,920,512,171.60/40,380,768,257.40 = 26,920,512,171.60/x
  3. Step 3: Cross multiply
    26,920,512,171.60x = 40,380,768,257.40 × 26,920,512,171.60
  4. Step 4: Simplify right side
    26,920,512,171.60x = 1,087,070,963,371,895,554,048
  5. Step 5: Solve for x
    x = 1,087,070,963,371,895,554,048/26,920,512,171.60
  6. Step 6: Final answer
    x = 40,380,768,257.40

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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.