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Finding the Fourth Proportional to 299,383,541.70, 449,075,312.55 and 105,293,415.30

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Solution

The fourth proportional to 299,383,541.70, 449,075,312.55 and 105,293,415.30 is: 157,940,122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,383,541.70 : 449,075,312.55 = 105,293,415.30 : x
  2. Step 2: Convert to fraction form
    299,383,541.70/449,075,312.55 = 105,293,415.30/x
  3. Step 3: Cross multiply
    299,383,541.70x = 449,075,312.55 × 105,293,415.30
  4. Step 4: Simplify right side
    299,383,541.70x = 47,284,673,385,304,448
  5. Step 5: Solve for x
    x = 47,284,673,385,304,448/299,383,541.70
  6. Step 6: Final answer
    x = 157,940,122.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.