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Finding the Fourth Proportional to 13,443,042,679.55, 20,164,564,019.33 and 13,443,042,679.55

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Solution

The fourth proportional to 13,443,042,679.55, 20,164,564,019.33 and 13,443,042,679.55 is: 20,164,564,019.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,443,042,679.55 : 20,164,564,019.33 = 13,443,042,679.55 : x
  2. Step 2: Convert to fraction form
    13,443,042,679.55/20,164,564,019.33 = 13,443,042,679.55/x
  3. Step 3: Cross multiply
    13,443,042,679.55x = 20,164,564,019.33 × 13,443,042,679.55
  4. Step 4: Simplify right side
    13,443,042,679.55x = 271,073,094,726,304,268,288
  5. Step 5: Solve for x
    x = 271,073,094,726,304,268,288/13,443,042,679.55
  6. Step 6: Final answer
    x = 20,164,564,019.33

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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.