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Finding the Fourth Proportional to 154,400,471,429.70, 231,600,707,144.55 and 154,400,471,429.70

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Solution

The fourth proportional to 154,400,471,429.70, 231,600,707,144.55 and 154,400,471,429.70 is: 231,600,707,144.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,400,471,429.70 : 231,600,707,144.55 = 154,400,471,429.70 : x
  2. Step 2: Convert to fraction form
    154,400,471,429.70/231,600,707,144.55 = 154,400,471,429.70/x
  3. Step 3: Cross multiply
    154,400,471,429.70x = 231,600,707,144.55 × 154,400,471,429.70
  4. Step 4: Simplify right side
    154,400,471,429.70x = 35,759,258,366,570,410,278,912
  5. Step 5: Solve for x
    x = 35,759,258,366,570,410,278,912/154,400,471,429.70
  6. Step 6: Final answer
    x = 231,600,707,144.55

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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.