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Finding the Fourth Proportional to 463,794,082.40, 695,691,123.60 and 441,119,266.40

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Solution

The fourth proportional to 463,794,082.40, 695,691,123.60 and 441,119,266.40 is: 661,678,899.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,794,082.40 : 695,691,123.60 = 441,119,266.40 : x
  2. Step 2: Convert to fraction form
    463,794,082.40/695,691,123.60 = 441,119,266.40/x
  3. Step 3: Cross multiply
    463,794,082.40x = 695,691,123.60 × 441,119,266.40
  4. Step 4: Simplify right side
    463,794,082.40x = 306,882,758,083,423,744
  5. Step 5: Solve for x
    x = 306,882,758,083,423,744/463,794,082.40
  6. Step 6: Final answer
    x = 661,678,899.60

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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.