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Finding the Fourth Proportional to 342,147,612.70, 480,215,981.30 and 342,147,612.70

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Solution

The fourth proportional to 342,147,612.70, 480,215,981.30 and 342,147,612.70 is: 480,215,981.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,147,612.70 : 480,215,981.30 = 342,147,612.70 : x
  2. Step 2: Convert to fraction form
    342,147,612.70/480,215,981.30 = 342,147,612.70/x
  3. Step 3: Cross multiply
    342,147,612.70x = 480,215,981.30 × 342,147,612.70
  4. Step 4: Simplify right side
    342,147,612.70x = 164,304,751,582,182,848
  5. Step 5: Solve for x
    x = 164,304,751,582,182,848/342,147,612.70
  6. Step 6: Final answer
    x = 480,215,981.30

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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.