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Finding the Fourth Proportional to 299,266,300.80, 449,235,374.40 and 231,409,814.40

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Solution

The fourth proportional to 299,266,300.80, 449,235,374.40 and 231,409,814.40 is: 347,374,476.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,266,300.80 : 449,235,374.40 = 231,409,814.40 : x
  2. Step 2: Convert to fraction form
    299,266,300.80/449,235,374.40 = 231,409,814.40/x
  3. Step 3: Cross multiply
    299,266,300.80x = 449,235,374.40 × 231,409,814.40
  4. Step 4: Simplify right side
    299,266,300.80x = 103,957,474,611,818,512
  5. Step 5: Solve for x
    x = 103,957,474,611,818,512/299,266,300.80
  6. Step 6: Final answer
    x = 347,374,476.62

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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.