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Finding the Fourth Proportional to 504,039,165.80, 756,058,748.70 and 402,002,493.80

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Solution

The fourth proportional to 504,039,165.80, 756,058,748.70 and 402,002,493.80 is: 603,003,740.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,039,165.80 : 756,058,748.70 = 402,002,493.80 : x
  2. Step 2: Convert to fraction form
    504,039,165.80/756,058,748.70 = 402,002,493.80/x
  3. Step 3: Cross multiply
    504,039,165.80x = 756,058,748.70 × 402,002,493.80
  4. Step 4: Simplify right side
    504,039,165.80x = 303,937,502,436,707,520
  5. Step 5: Solve for x
    x = 303,937,502,436,707,520/504,039,165.80
  6. Step 6: Final answer
    x = 603,003,740.70

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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.