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Finding the Fourth Proportional to 13,108,517,136,001, 19,662,775,704,002 and 13,108,517,136,001

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Solution

The fourth proportional to 13,108,517,136,001, 19,662,775,704,002 and 13,108,517,136,001 is: 19,662,775,704,002

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,108,517,136,001 : 19,662,775,704,002 = 13,108,517,136,001 : x
  2. Step 2: Convert to fraction form
    13,108,517,136,001/19,662,775,704,002 = 13,108,517,136,001/x
  3. Step 3: Cross multiply
    13,108,517,136,001x = 19,662,775,704,002 × 13,108,517,136,001
  4. Step 4: Simplify right side
    13,108,517,136,001x = 257,749,832,257,254,337,571,454,976
  5. Step 5: Solve for x
    x = 257,749,832,257,254,337,571,454,976/13,108,517,136,001
  6. Step 6: Final answer
    x = 19,662,775,704,002

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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.