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Finding the Fourth Proportional to 13,480,119,655.20, 20,192,969,703.60 and 13,480,119,655.20

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Solution

The fourth proportional to 13,480,119,655.20, 20,192,969,703.60 and 13,480,119,655.20 is: 20,192,969,703.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,480,119,655.20 : 20,192,969,703.60 = 13,480,119,655.20 : x
  2. Step 2: Convert to fraction form
    13,480,119,655.20/20,192,969,703.60 = 13,480,119,655.20/x
  3. Step 3: Cross multiply
    13,480,119,655.20x = 20,192,969,703.60 × 13,480,119,655.20
  4. Step 4: Simplify right side
    13,480,119,655.20x = 272,203,647,798,356,475,904
  5. Step 5: Solve for x
    x = 272,203,647,798,356,475,904/13,480,119,655.20
  6. Step 6: Final answer
    x = 20,192,969,703.60

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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.