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Finding the Fourth Proportional to 3,104,332,656.20, 4,656,498,984.30 and 3,104,332,656.20

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Solution

The fourth proportional to 3,104,332,656.20, 4,656,498,984.30 and 3,104,332,656.20 is: 4,656,498,984.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104,332,656.20 : 4,656,498,984.30 = 3,104,332,656.20 : x
  2. Step 2: Convert to fraction form
    3,104,332,656.20/4,656,498,984.30 = 3,104,332,656.20/x
  3. Step 3: Cross multiply
    3,104,332,656.20x = 4,656,498,984.30 × 3,104,332,656.20
  4. Step 4: Simplify right side
    3,104,332,656.20x = 14,455,321,860,524,621,824
  5. Step 5: Solve for x
    x = 14,455,321,860,524,621,824/3,104,332,656.20
  6. Step 6: Final answer
    x = 4,656,498,984.30

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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.