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Finding the Fourth Proportional to 524,382,149, 786,611,014.86 and 201,266,021

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Solution

The fourth proportional to 524,382,149, 786,611,014.86 and 201,266,021 is: 301,913,536.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,382,149 : 786,611,014.86 = 201,266,021 : x
  2. Step 2: Convert to fraction form
    524,382,149/786,611,014.86 = 201,266,021/x
  3. Step 3: Cross multiply
    524,382,149x = 786,611,014.86 × 201,266,021
  4. Step 4: Simplify right side
    524,382,149x = 158,318,069,035,644,064
  5. Step 5: Solve for x
    x = 158,318,069,035,644,064/524,382,149
  6. Step 6: Final answer
    x = 301,913,536.41

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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.