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Finding the Fourth Proportional to 823,469,173,818.90, 1,235,203,760,728.40 and 823,469,173,818.90

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Solution

The fourth proportional to 823,469,173,818.90, 1,235,203,760,728.40 and 823,469,173,818.90 is: 1,235,203,760,728.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,469,173,818.90 : 1,235,203,760,728.40 = 823,469,173,818.90 : x
  2. Step 2: Convert to fraction form
    823,469,173,818.90/1,235,203,760,728.40 = 823,469,173,818.90/x
  3. Step 3: Cross multiply
    823,469,173,818.90x = 1,235,203,760,728.40 × 823,469,173,818.90
  4. Step 4: Simplify right side
    823,469,173,818.90x = 1,017,152,220,345,013,790,310,400
  5. Step 5: Solve for x
    x = 1,017,152,220,345,013,790,310,400/823,469,173,818.90
  6. Step 6: Final answer
    x = 1,235,203,760,728.40

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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.