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Finding the Fourth Proportional to 7,427,056,010.80, 11,140,584,016.20 and 7,427,056,010.80

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Solution

The fourth proportional to 7,427,056,010.80, 11,140,584,016.20 and 7,427,056,010.80 is: 11,140,584,016.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427,056,010.80 : 11,140,584,016.20 = 7,427,056,010.80 : x
  2. Step 2: Convert to fraction form
    7,427,056,010.80/11,140,584,016.20 = 7,427,056,010.80/x
  3. Step 3: Cross multiply
    7,427,056,010.80x = 11,140,584,016.20 × 7,427,056,010.80
  4. Step 4: Simplify right side
    7,427,056,010.80x = 82,741,741,481,340,616,704
  5. Step 5: Solve for x
    x = 82,741,741,481,340,616,704/7,427,056,010.80
  6. Step 6: Final answer
    x = 11,140,584,016.20

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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.