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Finding the Fourth Proportional to 577,471,242.40, 866,206,863.60 and 441,422,346.40

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Solution

The fourth proportional to 577,471,242.40, 866,206,863.60 and 441,422,346.40 is: 662,133,519.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,471,242.40 : 866,206,863.60 = 441,422,346.40 : x
  2. Step 2: Convert to fraction form
    577,471,242.40/866,206,863.60 = 441,422,346.40/x
  3. Step 3: Cross multiply
    577,471,242.40x = 866,206,863.60 × 441,422,346.40
  4. Step 4: Simplify right side
    577,471,242.40x = 382,363,066,198,096,768
  5. Step 5: Solve for x
    x = 382,363,066,198,096,768/577,471,242.40
  6. Step 6: Final answer
    x = 662,133,519.60

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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.