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Finding the Fourth Proportional to 451,360,915.20, 677,041,372.80 and 451,360,915.20

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Solution

The fourth proportional to 451,360,915.20, 677,041,372.80 and 451,360,915.20 is: 677,041,372.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,360,915.20 : 677,041,372.80 = 451,360,915.20 : x
  2. Step 2: Convert to fraction form
    451,360,915.20/677,041,372.80 = 451,360,915.20/x
  3. Step 3: Cross multiply
    451,360,915.20x = 677,041,372.80 × 451,360,915.20
  4. Step 4: Simplify right side
    451,360,915.20x = 305,590,013,655,272,384
  5. Step 5: Solve for x
    x = 305,590,013,655,272,384/451,360,915.20
  6. Step 6: Final answer
    x = 677,041,372.80

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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.