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Finding the Fourth Proportional to 451,403,231.40, 677,104,847.10 and 451,403,231.40

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Solution

The fourth proportional to 451,403,231.40, 677,104,847.10 and 451,403,231.40 is: 677,104,847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,403,231.40 : 677,104,847.10 = 451,403,231.40 : x
  2. Step 2: Convert to fraction form
    451,403,231.40/677,104,847.10 = 451,403,231.40/x
  3. Step 3: Cross multiply
    451,403,231.40x = 677,104,847.10 × 451,403,231.40
  4. Step 4: Simplify right side
    451,403,231.40x = 305,647,315,977,542,912
  5. Step 5: Solve for x
    x = 305,647,315,977,542,912/451,403,231.40
  6. Step 6: Final answer
    x = 677,104,847.10

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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.