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Finding the Fourth Proportional to 6,474,735.80, 9,712,103.70 and 6,474,735.80

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Solution

The fourth proportional to 6,474,735.80, 9,712,103.70 and 6,474,735.80 is: 9,712,103.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474,735.80 : 9,712,103.70 = 6,474,735.80 : x
  2. Step 2: Convert to fraction form
    6,474,735.80/9,712,103.70 = 6,474,735.80/x
  3. Step 3: Cross multiply
    6,474,735.80x = 9,712,103.70 × 6,474,735.80
  4. Step 4: Simplify right side
    6,474,735.80x = 62,883,305,519,702.45
  5. Step 5: Solve for x
    x = 62,883,305,519,702.45/6,474,735.80
  6. Step 6: Final answer
    x = 9,712,103.70

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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.