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Finding the Fourth Proportional to 231,787,104,054.20, 347,680,656,081.30 and 231,787,104,054.20

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Solution

The fourth proportional to 231,787,104,054.20, 347,680,656,081.30 and 231,787,104,054.20 is: 347,680,656,081.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,787,104,054.20 : 347,680,656,081.30 = 231,787,104,054.20 : x
  2. Step 2: Convert to fraction form
    231,787,104,054.20/347,680,656,081.30 = 231,787,104,054.20/x
  3. Step 3: Cross multiply
    231,787,104,054.20x = 347,680,656,081.30 × 231,787,104,054.20
  4. Step 4: Simplify right side
    231,787,104,054.20x = 80,587,892,408,748,800,475,136
  5. Step 5: Solve for x
    x = 80,587,892,408,748,800,475,136/231,787,104,054.20
  6. Step 6: Final answer
    x = 347,680,656,081.30

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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.