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Finding the Fourth Proportional to 492,818,785.26, 739,954,864.54 and 274,894,907.82

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Solution

The fourth proportional to 492,818,785.26, 739,954,864.54 and 274,894,907.82 is: 412,747,708.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,818,785.26 : 739,954,864.54 = 274,894,907.82 : x
  2. Step 2: Convert to fraction form
    492,818,785.26/739,954,864.54 = 274,894,907.82/x
  3. Step 3: Cross multiply
    492,818,785.26x = 739,954,864.54 × 274,894,907.82
  4. Step 4: Simplify right side
    492,818,785.26x = 203,409,824,278,683,872
  5. Step 5: Solve for x
    x = 203,409,824,278,683,872/492,818,785.26
  6. Step 6: Final answer
    x = 412,747,708.41

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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.