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Finding the Fourth Proportional to 136,437,628,538.70, 204,656,442,808.05 and 136,437,628,538.70

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Solution

The fourth proportional to 136,437,628,538.70, 204,656,442,808.05 and 136,437,628,538.70 is: 204,656,442,808.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,437,628,538.70 : 204,656,442,808.05 = 136,437,628,538.70 : x
  2. Step 2: Convert to fraction form
    136,437,628,538.70/204,656,442,808.05 = 136,437,628,538.70/x
  3. Step 3: Cross multiply
    136,437,628,538.70x = 204,656,442,808.05 × 136,437,628,538.70
  4. Step 4: Simplify right side
    136,437,628,538.70x = 27,922,839,721,896,423,981,056
  5. Step 5: Solve for x
    x = 27,922,839,721,896,423,981,056/136,437,628,538.70
  6. Step 6: Final answer
    x = 204,656,442,808.05

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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.