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Finding the Fourth Proportional to 13,405,575,168,014, 20,108,362,752,022 and 13,405,575,168,014

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Solution

The fourth proportional to 13,405,575,168,014, 20,108,362,752,022 and 13,405,575,168,014 is: 20,108,362,752,022

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405,575,168,014 : 20,108,362,752,022 = 13,405,575,168,014 : x
  2. Step 2: Convert to fraction form
    13,405,575,168,014/20,108,362,752,022 = 13,405,575,168,014/x
  3. Step 3: Cross multiply
    13,405,575,168,014x = 20,108,362,752,022 × 13,405,575,168,014
  4. Step 4: Simplify right side
    13,405,575,168,014x = 269,564,168,377,923,765,199,175,680
  5. Step 5: Solve for x
    x = 269,564,168,377,923,765,199,175,680/13,405,575,168,014
  6. Step 6: Final answer
    x = 20,108,362,752,022

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.