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Finding the Fourth Proportional to 823,469,182,466.02, 1,235,203,773,699 and 823,469,182,466.02

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Solution

The fourth proportional to 823,469,182,466.02, 1,235,203,773,699 and 823,469,182,466.02 is: 1,235,203,773,699

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,469,182,466.02 : 1,235,203,773,699 = 823,469,182,466.02 : x
  2. Step 2: Convert to fraction form
    823,469,182,466.02/1,235,203,773,699 = 823,469,182,466.02/x
  3. Step 3: Cross multiply
    823,469,182,466.02x = 1,235,203,773,699 × 823,469,182,466.02
  4. Step 4: Simplify right side
    823,469,182,466.02x = 1,017,152,241,706,858,270,687,232
  5. Step 5: Solve for x
    x = 1,017,152,241,706,858,270,687,232/823,469,182,466.02
  6. Step 6: Final answer
    x = 1,235,203,773,699

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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.