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Finding the Fourth Proportional to 13,240,109,228,889, 19,860,163,843,334 and 13,240,109,228,889

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Solution

The fourth proportional to 13,240,109,228,889, 19,860,163,843,334 and 13,240,109,228,889 is: 19,860,163,843,334

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,240,109,228,889 : 19,860,163,843,334 = 13,240,109,228,889 : x
  2. Step 2: Convert to fraction form
    13,240,109,228,889/19,860,163,843,334 = 13,240,109,228,889/x
  3. Step 3: Cross multiply
    13,240,109,228,889x = 19,860,163,843,334 × 13,240,109,228,889
  4. Step 4: Simplify right side
    13,240,109,228,889x = 262,950,738,589,374,123,482,284,032
  5. Step 5: Solve for x
    x = 262,950,738,589,374,123,482,284,032/13,240,109,228,889
  6. Step 6: Final answer
    x = 19,860,163,843,334

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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.