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Finding the Fourth Proportional to 342,147,625.20, 480,215,998.80 and 342,147,625.20

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Solution

The fourth proportional to 342,147,625.20, 480,215,998.80 and 342,147,625.20 is: 480,215,998.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,147,625.20 : 480,215,998.80 = 342,147,625.20 : x
  2. Step 2: Convert to fraction form
    342,147,625.20/480,215,998.80 = 342,147,625.20/x
  3. Step 3: Cross multiply
    342,147,625.20x = 480,215,998.80 × 342,147,625.20
  4. Step 4: Simplify right side
    342,147,625.20x = 164,304,763,572,466,048
  5. Step 5: Solve for x
    x = 164,304,763,572,466,048/342,147,625.20
  6. Step 6: Final answer
    x = 480,215,998.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.