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Finding the Fourth Proportional to 600,387,296.87, 899,408,089.08 and 413,608,247.03

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Solution

The fourth proportional to 600,387,296.87, 899,408,089.08 and 413,608,247.03 is: 619,604,387.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,387,296.87 : 899,408,089.08 = 413,608,247.03 : x
  2. Step 2: Convert to fraction form
    600,387,296.87/899,408,089.08 = 413,608,247.03/x
  3. Step 3: Cross multiply
    600,387,296.87x = 899,408,089.08 × 413,608,247.03
  4. Step 4: Simplify right side
    600,387,296.87x = 372,002,603,088,980,864
  5. Step 5: Solve for x
    x = 372,002,603,088,980,864/600,387,296.87
  6. Step 6: Final answer
    x = 619,604,387.08

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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.