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Finding the Fourth Proportional to 413,958,752.35, 571,269,813.35 and 225,786,998.54

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Solution

The fourth proportional to 413,958,752.35, 571,269,813.35 and 225,786,998.54 is: 311,589,731.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,958,752.35 : 571,269,813.35 = 225,786,998.54 : x
  2. Step 2: Convert to fraction form
    413,958,752.35/571,269,813.35 = 225,786,998.54/x
  3. Step 3: Cross multiply
    413,958,752.35x = 571,269,813.35 × 225,786,998.54
  4. Step 4: Simplify right side
    413,958,752.35x = 128,985,296,513,101,760
  5. Step 5: Solve for x
    x = 128,985,296,513,101,760/413,958,752.35
  6. Step 6: Final answer
    x = 311,589,731.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.