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Finding the Fourth Proportional to 4,648,422.20, 6,972,633.30 and 4,648,422.20

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Solution

The fourth proportional to 4,648,422.20, 6,972,633.30 and 4,648,422.20 is: 6,972,633.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648,422.20 : 6,972,633.30 = 4,648,422.20 : x
  2. Step 2: Convert to fraction form
    4,648,422.20/6,972,633.30 = 4,648,422.20/x
  3. Step 3: Cross multiply
    4,648,422.20x = 6,972,633.30 × 4,648,422.20
  4. Step 4: Simplify right side
    4,648,422.20x = 32,411,743,424,179.26
  5. Step 5: Solve for x
    x = 32,411,743,424,179.26/4,648,422.20
  6. Step 6: Final answer
    x = 6,972,633.30

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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.