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Finding the Fourth Proportional to 13,794,668,166.40, 20,692,002,249.60 and 13,794,668,166.40

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Solution

The fourth proportional to 13,794,668,166.40, 20,692,002,249.60 and 13,794,668,166.40 is: 20,692,002,249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794,668,166.40 : 20,692,002,249.60 = 13,794,668,166.40 : x
  2. Step 2: Convert to fraction form
    13,794,668,166.40/20,692,002,249.60 = 13,794,668,166.40/x
  3. Step 3: Cross multiply
    13,794,668,166.40x = 20,692,002,249.60 × 13,794,668,166.40
  4. Step 4: Simplify right side
    13,794,668,166.40x = 285,439,304,731,634,270,208
  5. Step 5: Solve for x
    x = 285,439,304,731,634,270,208/13,794,668,166.40
  6. Step 6: Final answer
    x = 20,692,002,249.60

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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.