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Finding the Fourth Proportional to 331,315,274,481.40, 496,972,911,722.10 and 331,315,274,481.40

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Solution

The fourth proportional to 331,315,274,481.40, 496,972,911,722.10 and 331,315,274,481.40 is: 496,972,911,722.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,315,274,481.40 : 496,972,911,722.10 = 331,315,274,481.40 : x
  2. Step 2: Convert to fraction form
    331,315,274,481.40/496,972,911,722.10 = 331,315,274,481.40/x
  3. Step 3: Cross multiply
    331,315,274,481.40x = 496,972,911,722.10 × 331,315,274,481.40
  4. Step 4: Simplify right side
    331,315,274,481.40x = 164,654,716,657,028,139,319,296
  5. Step 5: Solve for x
    x = 164,654,716,657,028,139,319,296/331,315,274,481.40
  6. Step 6: Final answer
    x = 496,972,911,722.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.