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Finding the Fourth Proportional to 281,667,687.94, 422,203,338.38 and 94,743,685.47

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Solution

The fourth proportional to 281,667,687.94, 422,203,338.38 and 94,743,685.47 is: 142,015,225.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,667,687.94 : 422,203,338.38 = 94,743,685.47 : x
  2. Step 2: Convert to fraction form
    281,667,687.94/422,203,338.38 = 94,743,685.47/x
  3. Step 3: Cross multiply
    281,667,687.94x = 422,203,338.38 × 94,743,685.47
  4. Step 4: Simplify right side
    281,667,687.94x = 40,001,100,295,858,696
  5. Step 5: Solve for x
    x = 40,001,100,295,858,696/281,667,687.94
  6. Step 6: Final answer
    x = 142,015,225.77

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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.