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Finding the Fourth Proportional to 136,238,736.71, 204,358,105.07 and 136,238,736.71

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Solution

The fourth proportional to 136,238,736.71, 204,358,105.07 and 136,238,736.71 is: 204,358,105.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,238,736.71 : 204,358,105.07 = 136,238,736.71 : x
  2. Step 2: Convert to fraction form
    136,238,736.71/204,358,105.07 = 136,238,736.71/x
  3. Step 3: Cross multiply
    136,238,736.71x = 204,358,105.07 × 136,238,736.71
  4. Step 4: Simplify right side
    136,238,736.71x = 27,841,490,071,526,844
  5. Step 5: Solve for x
    x = 27,841,490,071,526,844/136,238,736.71
  6. Step 6: Final answer
    x = 204,358,105.07

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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.