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Finding the Fourth Proportional to 136,104,603,940.10, 204,156,905,910.15 and 136,104,603,940.10

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Solution

The fourth proportional to 136,104,603,940.10, 204,156,905,910.15 and 136,104,603,940.10 is: 204,156,905,910.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,104,603,940.10 : 204,156,905,910.15 = 136,104,603,940.10 : x
  2. Step 2: Convert to fraction form
    136,104,603,940.10/204,156,905,910.15 = 136,104,603,940.10/x
  3. Step 3: Cross multiply
    136,104,603,940.10x = 204,156,905,910.15 × 136,104,603,940.10
  4. Step 4: Simplify right side
    136,104,603,940.10x = 27,786,694,820,537,227,542,528
  5. Step 5: Solve for x
    x = 27,786,694,820,537,227,542,528/136,104,603,940.10
  6. Step 6: Final answer
    x = 204,156,905,910.15

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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.