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Finding the Fourth Proportional to 419,904,094.80, 628,722,401.40 and 419,904,094.80

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Solution

The fourth proportional to 419,904,094.80, 628,722,401.40 and 419,904,094.80 is: 628,722,401.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,904,094.80 : 628,722,401.40 = 419,904,094.80 : x
  2. Step 2: Convert to fraction form
    419,904,094.80/628,722,401.40 = 419,904,094.80/x
  3. Step 3: Cross multiply
    419,904,094.80x = 628,722,401.40 × 419,904,094.80
  4. Step 4: Simplify right side
    419,904,094.80x = 264,003,110,840,349,248
  5. Step 5: Solve for x
    x = 264,003,110,840,349,248/419,904,094.80
  6. Step 6: Final answer
    x = 628,722,401.40

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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.