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Finding the Fourth Proportional to 13,412,167,848,002, 20,118,251,772,004 and 13,412,167,848,002

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Solution

The fourth proportional to 13,412,167,848,002, 20,118,251,772,004 and 13,412,167,848,002 is: 20,118,251,772,004

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412,167,848,002 : 20,118,251,772,004 = 13,412,167,848,002 : x
  2. Step 2: Convert to fraction form
    13,412,167,848,002/20,118,251,772,004 = 13,412,167,848,002/x
  3. Step 3: Cross multiply
    13,412,167,848,002x = 20,118,251,772,004 × 13,412,167,848,002
  4. Step 4: Simplify right side
    13,412,167,848,002x = 269,829,369,574,481,320,520,712,192
  5. Step 5: Solve for x
    x = 269,829,369,574,481,320,520,712,192/13,412,167,848,002
  6. Step 6: Final answer
    x = 20,118,251,772,004

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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.