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Finding the Fourth Proportional to 234,737,567,998.80, 352,106,351,998.20 and 234,737,567,998.80

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Solution

The fourth proportional to 234,737,567,998.80, 352,106,351,998.20 and 234,737,567,998.80 is: 352,106,351,998.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,737,567,998.80 : 352,106,351,998.20 = 234,737,567,998.80 : x
  2. Step 2: Convert to fraction form
    234,737,567,998.80/352,106,351,998.20 = 234,737,567,998.80/x
  3. Step 3: Cross multiply
    234,737,567,998.80x = 352,106,351,998.20 × 234,737,567,998.80
  4. Step 4: Simplify right side
    234,737,567,998.80x = 82,652,588,744,986,876,444,672
  5. Step 5: Solve for x
    x = 82,652,588,744,986,876,444,672/234,737,567,998.80
  6. Step 6: Final answer
    x = 352,106,351,998.20

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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.