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Finding the Fourth Proportional to 13,786,292,279,427, 20,679,438,419,140 and 13,786,292,279,427

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Solution

The fourth proportional to 13,786,292,279,427, 20,679,438,419,140 and 13,786,292,279,427 is: 20,679,438,419,140

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,786,292,279,427 : 20,679,438,419,140 = 13,786,292,279,427 : x
  2. Step 2: Convert to fraction form
    13,786,292,279,427/20,679,438,419,140 = 13,786,292,279,427/x
  3. Step 3: Cross multiply
    13,786,292,279,427x = 20,679,438,419,140 × 13,786,292,279,427
  4. Step 4: Simplify right side
    13,786,292,279,427x = 285,092,782,220,675,859,601,162,240
  5. Step 5: Solve for x
    x = 285,092,782,220,675,859,601,162,240/13,786,292,279,427
  6. Step 6: Final answer
    x = 20,679,438,419,140

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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.