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Finding the Fourth Proportional to 13,405,575,168,001, 20,108,362,752,002 and 13,405,575,168,001

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Solution

The fourth proportional to 13,405,575,168,001, 20,108,362,752,002 and 13,405,575,168,001 is: 20,108,362,752,002

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405,575,168,001 : 20,108,362,752,002 = 13,405,575,168,001 : x
  2. Step 2: Convert to fraction form
    13,405,575,168,001/20,108,362,752,002 = 13,405,575,168,001/x
  3. Step 3: Cross multiply
    13,405,575,168,001x = 20,108,362,752,002 × 13,405,575,168,001
  4. Step 4: Simplify right side
    13,405,575,168,001x = 269,564,168,377,394,247,271,186,432
  5. Step 5: Solve for x
    x = 269,564,168,377,394,247,271,186,432/13,405,575,168,001
  6. Step 6: Final answer
    x = 20,108,362,752,002

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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.