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Finding the Fourth Proportional to 13,240,109,229,751, 19,860,163,844,626 and 13,240,109,229,751

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Solution

The fourth proportional to 13,240,109,229,751, 19,860,163,844,626 and 13,240,109,229,751 is: 19,860,163,844,626

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,240,109,229,751 : 19,860,163,844,626 = 13,240,109,229,751 : x
  2. Step 2: Convert to fraction form
    13,240,109,229,751/19,860,163,844,626 = 13,240,109,229,751/x
  3. Step 3: Cross multiply
    13,240,109,229,751x = 19,860,163,844,626 × 13,240,109,229,751
  4. Step 4: Simplify right side
    13,240,109,229,751x = 262,950,738,623,599,824,510,910,464
  5. Step 5: Solve for x
    x = 262,950,738,623,599,824,510,910,464/13,240,109,229,751
  6. Step 6: Final answer
    x = 19,860,163,844,626

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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.