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Finding the Fourth Proportional to 137,917,811,152.67, 206,876,716,729.01 and 137,917,811,152.67

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Solution

The fourth proportional to 137,917,811,152.67, 206,876,716,729.01 and 137,917,811,152.67 is: 206,876,716,729.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,917,811,152.67 : 206,876,716,729.01 = 137,917,811,152.67 : x
  2. Step 2: Convert to fraction form
    137,917,811,152.67/206,876,716,729.01 = 137,917,811,152.67/x
  3. Step 3: Cross multiply
    137,917,811,152.67x = 206,876,716,729.01 × 137,917,811,152.67
  4. Step 4: Simplify right side
    137,917,811,152.67x = 28,531,983,949,716,013,449,216
  5. Step 5: Solve for x
    x = 28,531,983,949,716,013,449,216/137,917,811,152.67
  6. Step 6: Final answer
    x = 206,876,716,729.01

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Double scale
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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.