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Finding the Fourth Proportional to 419,906,363.60, 629,859,545.40 and 290,240,008.40

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Solution

The fourth proportional to 419,906,363.60, 629,859,545.40 and 290,240,008.40 is: 435,360,012.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,906,363.60 : 629,859,545.40 = 290,240,008.40 : x
  2. Step 2: Convert to fraction form
    419,906,363.60/629,859,545.40 = 290,240,008.40/x
  3. Step 3: Cross multiply
    419,906,363.60x = 629,859,545.40 × 290,240,008.40
  4. Step 4: Simplify right side
    419,906,363.60x = 182,810,439,747,716,160
  5. Step 5: Solve for x
    x = 182,810,439,747,716,160/419,906,363.60
  6. Step 6: Final answer
    x = 435,360,012.60

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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.