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Finding the Fourth Proportional to 398,603,402.80, 598,542,833.40 and 301,668,564.40

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Solution

The fourth proportional to 398,603,402.80, 598,542,833.40 and 301,668,564.40 is: 452,985,488.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,603,402.80 : 598,542,833.40 = 301,668,564.40 : x
  2. Step 2: Convert to fraction form
    398,603,402.80/598,542,833.40 = 301,668,564.40/x
  3. Step 3: Cross multiply
    398,603,402.80x = 598,542,833.40 × 301,668,564.40
  4. Step 4: Simplify right side
    398,603,402.80x = 180,561,557,283,686,336
  5. Step 5: Solve for x
    x = 180,561,557,283,686,336/398,603,402.80
  6. Step 6: Final answer
    x = 452,985,488.87

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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.