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Finding the Fourth Proportional to 10,560,795,558,861, 15,841,193,338,292 and 10,560,795,558,861

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Solution

The fourth proportional to 10,560,795,558,861, 15,841,193,338,292 and 10,560,795,558,861 is: 15,841,193,338,292

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,560,795,558,861 : 15,841,193,338,292 = 10,560,795,558,861 : x
  2. Step 2: Convert to fraction form
    10,560,795,558,861/15,841,193,338,292 = 10,560,795,558,861/x
  3. Step 3: Cross multiply
    10,560,795,558,861x = 15,841,193,338,292 × 10,560,795,558,861
  4. Step 4: Simplify right side
    10,560,795,558,861x = 167,295,604,254,092,608,113,999,872
  5. Step 5: Solve for x
    x = 167,295,604,254,092,608,113,999,872/10,560,795,558,861
  6. Step 6: Final answer
    x = 15,841,193,338,292

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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.