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Finding the Fourth Proportional to 81,741,806,999.90, 122,612,710,499.85 and 81,741,806,999.90

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Solution

The fourth proportional to 81,741,806,999.90, 122,612,710,499.85 and 81,741,806,999.90 is: 122,612,710,499.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,741,806,999.90 : 122,612,710,499.85 = 81,741,806,999.90 : x
  2. Step 2: Convert to fraction form
    81,741,806,999.90/122,612,710,499.85 = 81,741,806,999.90/x
  3. Step 3: Cross multiply
    81,741,806,999.90x = 122,612,710,499.85 × 81,741,806,999.90
  4. Step 4: Simplify right side
    81,741,806,999.90x = 10,022,584,517,413,350,408,192
  5. Step 5: Solve for x
    x = 10,022,584,517,413,350,408,192/81,741,806,999.90
  6. Step 6: Final answer
    x = 122,612,710,499.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.