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Finding the Fourth Proportional to 486,839,810,400.60, 730,259,715,600.90 and 486,839,810,400.60

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Solution

The fourth proportional to 486,839,810,400.60, 730,259,715,600.90 and 486,839,810,400.60 is: 730,259,715,600.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,839,810,400.60 : 730,259,715,600.90 = 486,839,810,400.60 : x
  2. Step 2: Convert to fraction form
    486,839,810,400.60/730,259,715,600.90 = 486,839,810,400.60/x
  3. Step 3: Cross multiply
    486,839,810,400.60x = 730,259,715,600.90 × 486,839,810,400.60
  4. Step 4: Simplify right side
    486,839,810,400.60x = 355,519,501,486,338,204,499,968
  5. Step 5: Solve for x
    x = 355,519,501,486,338,204,499,968/486,839,810,400.60
  6. Step 6: Final answer
    x = 730,259,715,600.90

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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.