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Finding the Fourth Proportional to 10,560,795,557,223, 15,841,193,335,837 and 10,560,795,557,223

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Solution

The fourth proportional to 10,560,795,557,223, 15,841,193,335,837 and 10,560,795,557,223 is: 15,841,193,335,837

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,560,795,557,223 : 15,841,193,335,837 = 10,560,795,557,223 : x
  2. Step 2: Convert to fraction form
    10,560,795,557,223/15,841,193,335,837 = 10,560,795,557,223/x
  3. Step 3: Cross multiply
    10,560,795,557,223x = 15,841,193,335,837 × 10,560,795,557,223
  4. Step 4: Simplify right side
    10,560,795,557,223x = 167,295,604,202,217,993,112,911,872
  5. Step 5: Solve for x
    x = 167,295,604,202,217,993,112,911,872/10,560,795,557,223
  6. Step 6: Final answer
    x = 15,841,193,335,837

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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.