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Finding the Fourth Proportional to 273,839,745.84, 410,892,479.28 and 120,465,873.60

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Solution

The fourth proportional to 273,839,745.84, 410,892,479.28 and 120,465,873.60 is: 180,757,257.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,839,745.84 : 410,892,479.28 = 120,465,873.60 : x
  2. Step 2: Convert to fraction form
    273,839,745.84/410,892,479.28 = 120,465,873.60/x
  3. Step 3: Cross multiply
    273,839,745.84x = 410,892,479.28 × 120,465,873.60
  4. Step 4: Simplify right side
    273,839,745.84x = 49,498,521,472,135,096
  5. Step 5: Solve for x
    x = 49,498,521,472,135,096/273,839,745.84
  6. Step 6: Final answer
    x = 180,757,257.57

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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.