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Finding the Fourth Proportional to 13,442,857,346.05, 20,164,286,019.08 and 13,442,857,346.05

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Solution

The fourth proportional to 13,442,857,346.05, 20,164,286,019.08 and 13,442,857,346.05 is: 20,164,286,019.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442,857,346.05 : 20,164,286,019.08 = 13,442,857,346.05 : x
  2. Step 2: Convert to fraction form
    13,442,857,346.05/20,164,286,019.08 = 13,442,857,346.05/x
  3. Step 3: Cross multiply
    13,442,857,346.05x = 20,164,286,019.08 × 13,442,857,346.05
  4. Step 4: Simplify right side
    13,442,857,346.05x = 271,065,620,439,375,675,392
  5. Step 5: Solve for x
    x = 271,065,620,439,375,675,392/13,442,857,346.05
  6. Step 6: Final answer
    x = 20,164,286,019.08

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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.