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Finding the Fourth Proportional to 13,442,883,609.80, 20,164,325,414.70 and 13,442,883,609.80

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Solution

The fourth proportional to 13,442,883,609.80, 20,164,325,414.70 and 13,442,883,609.80 is: 20,164,325,414.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442,883,609.80 : 20,164,325,414.70 = 13,442,883,609.80 : x
  2. Step 2: Convert to fraction form
    13,442,883,609.80/20,164,325,414.70 = 13,442,883,609.80/x
  3. Step 3: Cross multiply
    13,442,883,609.80x = 20,164,325,414.70 × 13,442,883,609.80
  4. Step 4: Simplify right side
    13,442,883,609.80x = 271,066,679,619,944,218,624
  5. Step 5: Solve for x
    x = 271,066,679,619,944,218,624/13,442,883,609.80
  6. Step 6: Final answer
    x = 20,164,325,414.70

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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.