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Finding the Fourth Proportional to 281,717,888,936.15, 422,576,833,404.23 and 281,717,888,936.15

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Solution

The fourth proportional to 281,717,888,936.15, 422,576,833,404.23 and 281,717,888,936.15 is: 422,576,833,404.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,717,888,936.15 : 422,576,833,404.23 = 281,717,888,936.15 : x
  2. Step 2: Convert to fraction form
    281,717,888,936.15/422,576,833,404.23 = 281,717,888,936.15/x
  3. Step 3: Cross multiply
    281,717,888,936.15x = 422,576,833,404.23 × 281,717,888,936.15
  4. Step 4: Simplify right side
    281,717,888,936.15x = 119,047,453,419,962,825,179,136
  5. Step 5: Solve for x
    x = 119,047,453,419,962,825,179,136/281,717,888,936.15
  6. Step 6: Final answer
    x = 422,576,833,404.23

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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.