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Finding the Fourth Proportional to 576,282,806.80, 863,939,811.56 and 466,836,564.22

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Solution

The fourth proportional to 576,282,806.80, 863,939,811.56 and 466,836,564.22 is: 699,862,443.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,282,806.80 : 863,939,811.56 = 466,836,564.22 : x
  2. Step 2: Convert to fraction form
    576,282,806.80/863,939,811.56 = 466,836,564.22/x
  3. Step 3: Cross multiply
    576,282,806.80x = 863,939,811.56 × 466,836,564.22
  4. Step 4: Simplify right side
    576,282,806.80x = 403,318,693,320,551,872
  5. Step 5: Solve for x
    x = 403,318,693,320,551,872/576,282,806.80
  6. Step 6: Final answer
    x = 699,862,443.51

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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.