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Finding the Fourth Proportional to 111,878,658,003.67, 167,817,987,005.51 and 111,878,658,003.67

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Solution

The fourth proportional to 111,878,658,003.67, 167,817,987,005.51 and 111,878,658,003.67 is: 167,817,987,005.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,878,658,003.67 : 167,817,987,005.51 = 111,878,658,003.67 : x
  2. Step 2: Convert to fraction form
    111,878,658,003.67/167,817,987,005.51 = 111,878,658,003.67/x
  3. Step 3: Cross multiply
    111,878,658,003.67x = 167,817,987,005.51 × 111,878,658,003.67
  4. Step 4: Simplify right side
    111,878,658,003.67x = 18,775,251,175,053,790,806,016
  5. Step 5: Solve for x
    x = 18,775,251,175,053,790,806,016/111,878,658,003.67
  6. Step 6: Final answer
    x = 167,817,987,005.51

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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.