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Finding the Fourth Proportional to 4,648,577.20, 6,972,865.80 and 4,648,577.20

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Solution

The fourth proportional to 4,648,577.20, 6,972,865.80 and 4,648,577.20 is: 6,972,865.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648,577.20 : 6,972,865.80 = 4,648,577.20 : x
  2. Step 2: Convert to fraction form
    4,648,577.20/6,972,865.80 = 4,648,577.20/x
  3. Step 3: Cross multiply
    4,648,577.20x = 6,972,865.80 × 4,648,577.20
  4. Step 4: Simplify right side
    4,648,577.20x = 32,413,904,976,539.76
  5. Step 5: Solve for x
    x = 32,413,904,976,539.76/4,648,577.20
  6. Step 6: Final answer
    x = 6,972,865.80

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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.