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Finding the Fourth Proportional to 136,437,628,529.70, 204,656,442,794.55 and 136,437,628,529.70

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Solution

The fourth proportional to 136,437,628,529.70, 204,656,442,794.55 and 136,437,628,529.70 is: 204,656,442,794.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,437,628,529.70 : 204,656,442,794.55 = 136,437,628,529.70 : x
  2. Step 2: Convert to fraction form
    136,437,628,529.70/204,656,442,794.55 = 136,437,628,529.70/x
  3. Step 3: Cross multiply
    136,437,628,529.70x = 204,656,442,794.55 × 136,437,628,529.70
  4. Step 4: Simplify right side
    136,437,628,529.70x = 27,922,839,718,212,608,720,896
  5. Step 5: Solve for x
    x = 27,922,839,718,212,608,720,896/136,437,628,529.70
  6. Step 6: Final answer
    x = 204,656,442,794.55

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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.