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Finding the Fourth Proportional to 138,191,286,980.70, 207,286,930,471.05 and 138,191,286,980.70

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Solution

The fourth proportional to 138,191,286,980.70, 207,286,930,471.05 and 138,191,286,980.70 is: 207,286,930,471.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,191,286,980.70 : 207,286,930,471.05 = 138,191,286,980.70 : x
  2. Step 2: Convert to fraction form
    138,191,286,980.70/207,286,930,471.05 = 138,191,286,980.70/x
  3. Step 3: Cross multiply
    138,191,286,980.70x = 207,286,930,471.05 × 138,191,286,980.70
  4. Step 4: Simplify right side
    138,191,286,980.70x = 28,645,247,696,073,278,881,792
  5. Step 5: Solve for x
    x = 28,645,247,696,073,278,881,792/138,191,286,980.70
  6. Step 6: Final answer
    x = 207,286,930,471.05

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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.