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Finding the Fourth Proportional to 13,412,167,848,012, 20,118,251,772,020 and 13,412,167,848,012

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Solution

The fourth proportional to 13,412,167,848,012, 20,118,251,772,020 and 13,412,167,848,012 is: 20,118,251,772,020

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412,167,848,012 : 20,118,251,772,020 = 13,412,167,848,012 : x
  2. Step 2: Convert to fraction form
    13,412,167,848,012/20,118,251,772,020 = 13,412,167,848,012/x
  3. Step 3: Cross multiply
    13,412,167,848,012x = 20,118,251,772,020 × 13,412,167,848,012
  4. Step 4: Simplify right side
    13,412,167,848,012x = 269,829,369,574,897,073,354,964,992
  5. Step 5: Solve for x
    x = 269,829,369,574,897,073,354,964,992/13,412,167,848,012
  6. Step 6: Final answer
    x = 20,118,251,772,020

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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.