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Finding the Fourth Proportional to 136,104,603,937.60, 204,156,905,906.40 and 136,104,603,937.60

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Solution

The fourth proportional to 136,104,603,937.60, 204,156,905,906.40 and 136,104,603,937.60 is: 204,156,905,906.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,104,603,937.60 : 204,156,905,906.40 = 136,104,603,937.60 : x
  2. Step 2: Convert to fraction form
    136,104,603,937.60/204,156,905,906.40 = 136,104,603,937.60/x
  3. Step 3: Cross multiply
    136,104,603,937.60x = 204,156,905,906.40 × 136,104,603,937.60
  4. Step 4: Simplify right side
    136,104,603,937.60x = 27,786,694,819,516,443,000,832
  5. Step 5: Solve for x
    x = 27,786,694,819,516,443,000,832/136,104,603,937.60
  6. Step 6: Final answer
    x = 204,156,905,906.40

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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.