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Finding the Fourth Proportional to 182,443,211,989.20, 273,664,817,983.80 and 182,443,211,989.20

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Solution

The fourth proportional to 182,443,211,989.20, 273,664,817,983.80 and 182,443,211,989.20 is: 273,664,817,983.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,443,211,989.20 : 273,664,817,983.80 = 182,443,211,989.20 : x
  2. Step 2: Convert to fraction form
    182,443,211,989.20/273,664,817,983.80 = 182,443,211,989.20/x
  3. Step 3: Cross multiply
    182,443,211,989.20x = 273,664,817,983.80 × 182,443,211,989.20
  4. Step 4: Simplify right side
    182,443,211,989.20x = 49,928,288,401,404,255,535,104
  5. Step 5: Solve for x
    x = 49,928,288,401,404,255,535,104/182,443,211,989.20
  6. Step 6: Final answer
    x = 273,664,817,983.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.