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Finding the Fourth Proportional to 136,201,995,097.10, 204,302,992,645.65 and 136,201,995,097.10

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Solution

The fourth proportional to 136,201,995,097.10, 204,302,992,645.65 and 136,201,995,097.10 is: 204,302,992,645.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,201,995,097.10 : 204,302,992,645.65 = 136,201,995,097.10 : x
  2. Step 2: Convert to fraction form
    136,201,995,097.10/204,302,992,645.65 = 136,201,995,097.10/x
  3. Step 3: Cross multiply
    136,201,995,097.10x = 204,302,992,645.65 × 136,201,995,097.10
  4. Step 4: Simplify right side
    136,201,995,097.10x = 27,826,475,202,645,678,096,384
  5. Step 5: Solve for x
    x = 27,826,475,202,645,678,096,384/136,201,995,097.10
  6. Step 6: Final answer
    x = 204,302,992,645.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.