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Finding the Fourth Proportional to 235,644,876,008.80, 353,467,314,013.14 and 235,644,876,008.80

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Solution

The fourth proportional to 235,644,876,008.80, 353,467,314,013.14 and 235,644,876,008.80 is: 353,467,314,013.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,644,876,008.80 : 353,467,314,013.14 = 235,644,876,008.80 : x
  2. Step 2: Convert to fraction form
    235,644,876,008.80/353,467,314,013.14 = 235,644,876,008.80/x
  3. Step 3: Cross multiply
    235,644,876,008.80x = 353,467,314,013.14 × 235,644,876,008.80
  4. Step 4: Simplify right side
    235,644,876,008.80x = 83,292,761,383,789,955,907,584
  5. Step 5: Solve for x
    x = 83,292,761,383,789,955,907,584/235,644,876,008.80
  6. Step 6: Final answer
    x = 353,467,314,013.14

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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.