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Finding the Fourth Proportional to 86,408,682,912.35, 129,613,024,368.52 and 86,408,682,912.35

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Solution

The fourth proportional to 86,408,682,912.35, 129,613,024,368.52 and 86,408,682,912.35 is: 129,613,024,368.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,408,682,912.35 : 129,613,024,368.52 = 86,408,682,912.35 : x
  2. Step 2: Convert to fraction form
    86,408,682,912.35/129,613,024,368.52 = 86,408,682,912.35/x
  3. Step 3: Cross multiply
    86,408,682,912.35x = 129,613,024,368.52 × 86,408,682,912.35
  4. Step 4: Simplify right side
    86,408,682,912.35x = 11,199,690,723,970,139,553,792
  5. Step 5: Solve for x
    x = 11,199,690,723,970,139,553,792/86,408,682,912.35
  6. Step 6: Final answer
    x = 129,613,024,368.52

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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.