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Finding the Fourth Proportional to 13,442,857,360.80, 20,164,286,041.20 and 13,442,857,360.80

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Solution

The fourth proportional to 13,442,857,360.80, 20,164,286,041.20 and 13,442,857,360.80 is: 20,164,286,041.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442,857,360.80 : 20,164,286,041.20 = 13,442,857,360.80 : x
  2. Step 2: Convert to fraction form
    13,442,857,360.80/20,164,286,041.20 = 13,442,857,360.80/x
  3. Step 3: Cross multiply
    13,442,857,360.80x = 20,164,286,041.20 × 13,442,857,360.80
  4. Step 4: Simplify right side
    13,442,857,360.80x = 271,065,621,034,222,092,288
  5. Step 5: Solve for x
    x = 271,065,621,034,222,092,288/13,442,857,360.80
  6. Step 6: Final answer
    x = 20,164,286,041.20

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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.