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Finding the Fourth Proportional to 299,383,531.20, 449,075,296.80 and 105,293,404.80

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Solution

The fourth proportional to 299,383,531.20, 449,075,296.80 and 105,293,404.80 is: 157,940,107.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,383,531.20 : 449,075,296.80 = 105,293,404.80 : x
  2. Step 2: Convert to fraction form
    299,383,531.20/449,075,296.80 = 105,293,404.80/x
  3. Step 3: Cross multiply
    299,383,531.20x = 449,075,296.80 × 105,293,404.80
  4. Step 4: Simplify right side
    299,383,531.20x = 47,284,667,011,642,544
  5. Step 5: Solve for x
    x = 47,284,667,011,642,544/299,383,531.20
  6. Step 6: Final answer
    x = 157,940,107.20

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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.