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Finding the Fourth Proportional to 451,403,309.90, 677,104,964.85 and 451,403,309.90

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Solution

The fourth proportional to 451,403,309.90, 677,104,964.85 and 451,403,309.90 is: 677,104,964.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,403,309.90 : 677,104,964.85 = 451,403,309.90 : x
  2. Step 2: Convert to fraction form
    451,403,309.90/677,104,964.85 = 451,403,309.90/x
  3. Step 3: Cross multiply
    451,403,309.90x = 677,104,964.85 × 451,403,309.90
  4. Step 4: Simplify right side
    451,403,309.90x = 305,647,422,283,013,120
  5. Step 5: Solve for x
    x = 305,647,422,283,013,120/451,403,309.90
  6. Step 6: Final answer
    x = 677,104,964.85

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1.5x scale

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.