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Finding the Fourth Proportional to 1,002,324,599.94, 1,503,544,330.54 and 265,375,328.80

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Solution

The fourth proportional to 1,002,324,599.94, 1,503,544,330.54 and 265,375,328.80 is: 398,078,198.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,324,599.94 : 1,503,544,330.54 = 265,375,328.80 : x
  2. Step 2: Convert to fraction form
    1,002,324,599.94/1,503,544,330.54 = 265,375,328.80/x
  3. Step 3: Cross multiply
    1,002,324,599.94x = 1,503,544,330.54 × 265,375,328.80
  4. Step 4: Simplify right side
    1,002,324,599.94x = 399,003,571,082,428,416
  5. Step 5: Solve for x
    x = 399,003,571,082,428,416/1,002,324,599.94
  6. Step 6: Final answer
    x = 398,078,198.53

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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.