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Finding the Fourth Proportional to 419,957,467.40, 629,936,201.10 and 419,957,467.40

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Solution

The fourth proportional to 419,957,467.40, 629,936,201.10 and 419,957,467.40 is: 629,936,201.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,957,467.40 : 629,936,201.10 = 419,957,467.40 : x
  2. Step 2: Convert to fraction form
    419,957,467.40/629,936,201.10 = 419,957,467.40/x
  3. Step 3: Cross multiply
    419,957,467.40x = 629,936,201.10 × 419,957,467.40
  4. Step 4: Simplify right side
    419,957,467.40x = 264,546,411,637,533,088
  5. Step 5: Solve for x
    x = 264,546,411,637,533,088/419,957,467.40
  6. Step 6: Final answer
    x = 629,936,201.10

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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.