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Finding the Fourth Proportional to 331,315,275,310.15, 496,972,912,965.23 and 331,315,275,310.15

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Solution

The fourth proportional to 331,315,275,310.15, 496,972,912,965.23 and 331,315,275,310.15 is: 496,972,912,965.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,315,275,310.15 : 496,972,912,965.23 = 331,315,275,310.15 : x
  2. Step 2: Convert to fraction form
    331,315,275,310.15/496,972,912,965.23 = 331,315,275,310.15/x
  3. Step 3: Cross multiply
    331,315,275,310.15x = 496,972,912,965.23 × 331,315,275,310.15
  4. Step 4: Simplify right side
    331,315,275,310.15x = 164,654,717,480,762,400,047,104
  5. Step 5: Solve for x
    x = 164,654,717,480,762,400,047,104/331,315,275,310.15
  6. Step 6: Final answer
    x = 496,972,912,965.23

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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.