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Finding the Fourth Proportional to 391,648,813,372, 587,593,114,138.80 and 200,556,151,788.80

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Solution

The fourth proportional to 391,648,813,372, 587,593,114,138.80 and 200,556,151,788.80 is: 300,895,623,236.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,648,813,372 : 587,593,114,138.80 = 200,556,151,788.80 : x
  2. Step 2: Convert to fraction form
    391,648,813,372/587,593,114,138.80 = 200,556,151,788.80/x
  3. Step 3: Cross multiply
    391,648,813,372x = 587,593,114,138.80 × 200,556,151,788.80
  4. Step 4: Simplify right side
    391,648,813,372x = 117,845,413,789,274,858,323,968
  5. Step 5: Solve for x
    x = 117,845,413,789,274,858,323,968/391,648,813,372
  6. Step 6: Final answer
    x = 300,895,623,236.17

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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.