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Finding the Fourth Proportional to 678,436,234.60, 1,017,654,351.90 and 678,436,234.60

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Solution

The fourth proportional to 678,436,234.60, 1,017,654,351.90 and 678,436,234.60 is: 1,017,654,351.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,436,234.60 : 1,017,654,351.90 = 678,436,234.60 : x
  2. Step 2: Convert to fraction form
    678,436,234.60/1,017,654,351.90 = 678,436,234.60/x
  3. Step 3: Cross multiply
    678,436,234.60x = 1,017,654,351.90 × 678,436,234.60
  4. Step 4: Simplify right side
    678,436,234.60x = 690,413,586,627,339,392
  5. Step 5: Solve for x
    x = 690,413,586,627,339,392/678,436,234.60
  6. Step 6: Final answer
    x = 1,017,654,351.90

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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.