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Finding the Fourth Proportional to 13,453,996,105.80, 20,180,994,158.70 and 13,453,996,105.80

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Solution

The fourth proportional to 13,453,996,105.80, 20,180,994,158.70 and 13,453,996,105.80 is: 20,180,994,158.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,453,996,105.80 : 20,180,994,158.70 = 13,453,996,105.80 : x
  2. Step 2: Convert to fraction form
    13,453,996,105.80/20,180,994,158.70 = 13,453,996,105.80/x
  3. Step 3: Cross multiply
    13,453,996,105.80x = 20,180,994,158.70 × 13,453,996,105.80
  4. Step 4: Simplify right side
    13,453,996,105.80x = 271,515,016,822,322,331,648
  5. Step 5: Solve for x
    x = 271,515,016,822,322,331,648/13,453,996,105.80
  6. Step 6: Final answer
    x = 20,180,994,158.70

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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.