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Finding the Fourth Proportional to 86,920,231,641.85, 130,380,347,462.78 and 86,920,231,641.85

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Solution

The fourth proportional to 86,920,231,641.85, 130,380,347,462.78 and 86,920,231,641.85 is: 130,380,347,462.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,920,231,641.85 : 130,380,347,462.78 = 86,920,231,641.85 : x
  2. Step 2: Convert to fraction form
    86,920,231,641.85/130,380,347,462.78 = 86,920,231,641.85/x
  3. Step 3: Cross multiply
    86,920,231,641.85x = 130,380,347,462.78 × 86,920,231,641.85
  4. Step 4: Simplify right side
    86,920,231,641.85x = 11,332,690,003,009,728,413,696
  5. Step 5: Solve for x
    x = 11,332,690,003,009,728,413,696/86,920,231,641.85
  6. Step 6: Final answer
    x = 130,380,347,462.78

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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.