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Finding the Fourth Proportional to 492,818,784.25, 739,954,863.03 and 274,894,906.81

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Solution

The fourth proportional to 492,818,784.25, 739,954,863.03 and 274,894,906.81 is: 412,747,706.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,818,784.25 : 739,954,863.03 = 274,894,906.81 : x
  2. Step 2: Convert to fraction form
    492,818,784.25/739,954,863.03 = 274,894,906.81/x
  3. Step 3: Cross multiply
    492,818,784.25x = 739,954,863.03 × 274,894,906.81
  4. Step 4: Simplify right side
    492,818,784.25x = 203,409,823,116,238,144
  5. Step 5: Solve for x
    x = 203,409,823,116,238,144/492,818,784.25
  6. Step 6: Final answer
    x = 412,747,706.90

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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.