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Finding the Fourth Proportional to 419,903,998.90, 629,855,998.35 and 404,598,498.10

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Solution

The fourth proportional to 419,903,998.90, 629,855,998.35 and 404,598,498.10 is: 606,897,747.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,903,998.90 : 629,855,998.35 = 404,598,498.10 : x
  2. Step 2: Convert to fraction form
    419,903,998.90/629,855,998.35 = 404,598,498.10/x
  3. Step 3: Cross multiply
    419,903,998.90x = 629,855,998.35 × 404,598,498.10
  4. Step 4: Simplify right side
    419,903,998.90x = 254,838,790,951,686,112
  5. Step 5: Solve for x
    x = 254,838,790,951,686,112/419,903,998.90
  6. Step 6: Final answer
    x = 606,897,747.15

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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.