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Finding the Fourth Proportional to 10,560,795,702,664, 15,841,193,553,997 and 10,560,795,702,664

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Solution

The fourth proportional to 10,560,795,702,664, 15,841,193,553,997 and 10,560,795,702,664 is: 15,841,193,553,997

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,560,795,702,664 : 15,841,193,553,997 = 10,560,795,702,664 : x
  2. Step 2: Convert to fraction form
    10,560,795,702,664/15,841,193,553,997 = 10,560,795,702,664/x
  3. Step 3: Cross multiply
    10,560,795,702,664x = 15,841,193,553,997 × 10,560,795,702,664
  4. Step 4: Simplify right side
    10,560,795,702,664x = 167,295,608,810,120,179,712,262,144
  5. Step 5: Solve for x
    x = 167,295,608,810,120,179,712,262,144/10,560,795,702,664
  6. Step 6: Final answer
    x = 15,841,193,553,997

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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.