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Finding the Fourth Proportional to 548,307,216.40, 823,804,517.40 and 412,258,320.40

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Solution

The fourth proportional to 548,307,216.40, 823,804,517.40 and 412,258,320.40 is: 619,397,769.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,307,216.40 : 823,804,517.40 = 412,258,320.40 : x
  2. Step 2: Convert to fraction form
    548,307,216.40/823,804,517.40 = 412,258,320.40/x
  3. Step 3: Cross multiply
    548,307,216.40x = 823,804,517.40 × 412,258,320.40
  4. Step 4: Simplify right side
    548,307,216.40x = 339,620,266,681,256,576
  5. Step 5: Solve for x
    x = 339,620,266,681,256,576/548,307,216.40
  6. Step 6: Final answer
    x = 619,397,769.21

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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.