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Finding the Fourth Proportional to 1,241,180,455,522, 1,861,770,683,283 and 1,241,180,455,522

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Solution

The fourth proportional to 1,241,180,455,522, 1,861,770,683,283 and 1,241,180,455,522 is: 1,861,770,683,283

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241,180,455,522 : 1,861,770,683,283 = 1,241,180,455,522 : x
  2. Step 2: Convert to fraction form
    1,241,180,455,522/1,861,770,683,283 = 1,241,180,455,522/x
  3. Step 3: Cross multiply
    1,241,180,455,522x = 1,861,770,683,283 × 1,241,180,455,522
  4. Step 4: Simplify right side
    1,241,180,455,522x = 2,310,793,384,754,699,200,102,400
  5. Step 5: Solve for x
    x = 2,310,793,384,754,699,200,102,400/1,241,180,455,522
  6. Step 6: Final answer
    x = 1,861,770,683,283

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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.