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Finding the Fourth Proportional to 524,382,147, 786,611,011.86 and 201,266,019

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Solution

The fourth proportional to 524,382,147, 786,611,011.86 and 201,266,019 is: 301,913,533.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,382,147 : 786,611,011.86 = 201,266,019 : x
  2. Step 2: Convert to fraction form
    524,382,147/786,611,011.86 = 201,266,019/x
  3. Step 3: Cross multiply
    524,382,147x = 786,611,011.86 × 201,266,019
  4. Step 4: Simplify right side
    524,382,147x = 158,318,066,858,624,000
  5. Step 5: Solve for x
    x = 158,318,066,858,624,000/524,382,147
  6. Step 6: Final answer
    x = 301,913,533.41

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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.