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Finding the Fourth Proportional to 408,910,726.80, 613,534,051.80 and 150,249,862.80

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Solution

The fourth proportional to 408,910,726.80, 613,534,051.80 and 150,249,862.80 is: 225,436,509.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,910,726.80 : 613,534,051.80 = 150,249,862.80 : x
  2. Step 2: Convert to fraction form
    408,910,726.80/613,534,051.80 = 150,249,862.80/x
  3. Step 3: Cross multiply
    408,910,726.80x = 613,534,051.80 × 150,249,862.80
  4. Step 4: Simplify right side
    408,910,726.80x = 92,183,407,106,078,096
  5. Step 5: Solve for x
    x = 92,183,407,106,078,096/408,910,726.80
  6. Step 6: Final answer
    x = 225,436,509.89

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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.