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Finding the Fourth Proportional to 10,560,808,188,049, 15,841,212,282,073 and 10,560,808,188,049

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Solution

The fourth proportional to 10,560,808,188,049, 15,841,212,282,073 and 10,560,808,188,049 is: 15,841,212,282,073

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,560,808,188,049 : 15,841,212,282,073 = 10,560,808,188,049 : x
  2. Step 2: Convert to fraction form
    10,560,808,188,049/15,841,212,282,073 = 10,560,808,188,049/x
  3. Step 3: Cross multiply
    10,560,808,188,049x = 15,841,212,282,073 × 10,560,808,188,049
  4. Step 4: Simplify right side
    10,560,808,188,049x = 167,296,004,377,138,930,550,571,008
  5. Step 5: Solve for x
    x = 167,296,004,377,138,930,550,571,008/10,560,808,188,049
  6. Step 6: Final answer
    x = 15,841,212,282,073

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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.