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Finding the Fourth Proportional to 86,565,854,719.90, 129,848,782,079.86 and 86,565,854,719.90

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Solution

The fourth proportional to 86,565,854,719.90, 129,848,782,079.86 and 86,565,854,719.90 is: 129,848,782,079.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,565,854,719.90 : 129,848,782,079.86 = 86,565,854,719.90 : x
  2. Step 2: Convert to fraction form
    86,565,854,719.90/129,848,782,079.86 = 86,565,854,719.90/x
  3. Step 3: Cross multiply
    86,565,854,719.90x = 129,848,782,079.86 × 86,565,854,719.90
  4. Step 4: Simplify right side
    86,565,854,719.90x = 11,240,470,805,081,114,017,792
  5. Step 5: Solve for x
    x = 11,240,470,805,081,114,017,792/86,565,854,719.90
  6. Step 6: Final answer
    x = 129,848,782,079.86

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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.