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Finding the Fourth Proportional to 3,690,536,270,453, 5,535,804,405,680 and 3,690,536,270,453

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Solution

The fourth proportional to 3,690,536,270,453, 5,535,804,405,680 and 3,690,536,270,453 is: 5,535,804,405,680

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690,536,270,453 : 5,535,804,405,680 = 3,690,536,270,453 : x
  2. Step 2: Convert to fraction form
    3,690,536,270,453/5,535,804,405,680 = 3,690,536,270,453/x
  3. Step 3: Cross multiply
    3,690,536,270,453x = 5,535,804,405,680 × 3,690,536,270,453
  4. Step 4: Simplify right side
    3,690,536,270,453x = 20,430,086,945,295,553,861,255,168
  5. Step 5: Solve for x
    x = 20,430,086,945,295,553,861,255,168/3,690,536,270,453
  6. Step 6: Final answer
    x = 5,535,804,405,680

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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.