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Finding the Fourth Proportional to 494,474,644.92, 742,200,373.14 and 371,224,422.84

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Solution

The fourth proportional to 494,474,644.92, 742,200,373.14 and 371,224,422.84 is: 557,203,302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,474,644.92 : 742,200,373.14 = 371,224,422.84 : x
  2. Step 2: Convert to fraction form
    494,474,644.92/742,200,373.14 = 371,224,422.84/x
  3. Step 3: Cross multiply
    494,474,644.92x = 742,200,373.14 × 371,224,422.84
  4. Step 4: Simplify right side
    494,474,644.92x = 275,522,905,150,529,120
  5. Step 5: Solve for x
    x = 275,522,905,150,529,120/494,474,644.92
  6. Step 6: Final answer
    x = 557,203,302.50

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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.