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Finding the Fourth Proportional to 111,469,897,719.10, 167,204,846,578.65 and 111,469,897,719.10

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Solution

The fourth proportional to 111,469,897,719.10, 167,204,846,578.65 and 111,469,897,719.10 is: 167,204,846,578.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,469,897,719.10 : 167,204,846,578.65 = 111,469,897,719.10 : x
  2. Step 2: Convert to fraction form
    111,469,897,719.10/167,204,846,578.65 = 111,469,897,719.10/x
  3. Step 3: Cross multiply
    111,469,897,719.10x = 167,204,846,578.65 × 111,469,897,719.10
  4. Step 4: Simplify right side
    111,469,897,719.10x = 18,638,307,146,259,922,681,856
  5. Step 5: Solve for x
    x = 18,638,307,146,259,922,681,856/111,469,897,719.10
  6. Step 6: Final answer
    x = 167,204,846,578.65

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Double scale
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1.5x scale

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.