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Finding the Fourth Proportional to 266,351,586,196.60, 399,527,379,294.90 and 266,351,586,196.60

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Solution

The fourth proportional to 266,351,586,196.60, 399,527,379,294.90 and 266,351,586,196.60 is: 399,527,379,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,351,586,196.60 : 399,527,379,294.90 = 266,351,586,196.60 : x
  2. Step 2: Convert to fraction form
    266,351,586,196.60/399,527,379,294.90 = 266,351,586,196.60/x
  3. Step 3: Cross multiply
    266,351,586,196.60x = 399,527,379,294.90 × 266,351,586,196.60
  4. Step 4: Simplify right side
    266,351,586,196.60x = 106,414,751,204,167,271,841,792
  5. Step 5: Solve for x
    x = 106,414,751,204,167,271,841,792/266,351,586,196.60
  6. Step 6: Final answer
    x = 399,527,379,294.90

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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.