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Finding the Fourth Proportional to 413,357,553, 619,821,052.02 and 194,949,249.66

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Solution

The fourth proportional to 413,357,553, 619,821,052.02 and 194,949,249.66 is: 292,322,344.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,357,553 : 619,821,052.02 = 194,949,249.66 : x
  2. Step 2: Convert to fraction form
    413,357,553/619,821,052.02 = 194,949,249.66/x
  3. Step 3: Cross multiply
    413,357,553x = 619,821,052.02 × 194,949,249.66
  4. Step 4: Simplify right side
    413,357,553x = 120,833,649,014,770,816
  5. Step 5: Solve for x
    x = 120,833,649,014,770,816/413,357,553
  6. Step 6: Final answer
    x = 292,322,344.51

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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.