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Finding the Fourth Proportional to 214,991,272,002.60, 321,906,432,714.30 and 214,991,272,002.60

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Solution

The fourth proportional to 214,991,272,002.60, 321,906,432,714.30 and 214,991,272,002.60 is: 321,906,432,714.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,991,272,002.60 : 321,906,432,714.30 = 214,991,272,002.60 : x
  2. Step 2: Convert to fraction form
    214,991,272,002.60/321,906,432,714.30 = 214,991,272,002.60/x
  3. Step 3: Cross multiply
    214,991,272,002.60x = 321,906,432,714.30 × 214,991,272,002.60
  4. Step 4: Simplify right side
    214,991,272,002.60x = 69,207,073,435,066,721,894,400
  5. Step 5: Solve for x
    x = 69,207,073,435,066,721,894,400/214,991,272,002.60
  6. Step 6: Final answer
    x = 321,906,432,714.30

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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.