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Finding the Fourth Proportional to 416,064,274.20, 622,902,017.70 and 404,120,338.20

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Solution

The fourth proportional to 416,064,274.20, 622,902,017.70 and 404,120,338.20 is: 605,020,401.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,064,274.20 : 622,902,017.70 = 404,120,338.20 : x
  2. Step 2: Convert to fraction form
    416,064,274.20/622,902,017.70 = 404,120,338.20/x
  3. Step 3: Cross multiply
    416,064,274.20x = 622,902,017.70 × 404,120,338.20
  4. Step 4: Simplify right side
    416,064,274.20x = 251,727,374,058,386,400
  5. Step 5: Solve for x
    x = 251,727,374,058,386,400/416,064,274.20
  6. Step 6: Final answer
    x = 605,020,401.10

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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.