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Finding the Fourth Proportional to 1,241,180,455,578, 1,861,770,683,367 and 1,241,180,455,578

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Solution

The fourth proportional to 1,241,180,455,578, 1,861,770,683,367 and 1,241,180,455,578 is: 1,861,770,683,367

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241,180,455,578 : 1,861,770,683,367 = 1,241,180,455,578 : x
  2. Step 2: Convert to fraction form
    1,241,180,455,578/1,861,770,683,367 = 1,241,180,455,578/x
  3. Step 3: Cross multiply
    1,241,180,455,578x = 1,861,770,683,367 × 1,241,180,455,578
  4. Step 4: Simplify right side
    1,241,180,455,578x = 2,310,793,384,963,217,446,404,096
  5. Step 5: Solve for x
    x = 2,310,793,384,963,217,446,404,096/1,241,180,455,578
  6. Step 6: Final answer
    x = 1,861,770,683,367

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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.