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Finding the Fourth Proportional to 13,543,578,034,824, 20,315,367,052,236 and 13,543,578,034,824

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Solution

The fourth proportional to 13,543,578,034,824, 20,315,367,052,236 and 13,543,578,034,824 is: 20,315,367,052,236

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543,578,034,824 : 20,315,367,052,236 = 13,543,578,034,824 : x
  2. Step 2: Convert to fraction form
    13,543,578,034,824/20,315,367,052,236 = 13,543,578,034,824/x
  3. Step 3: Cross multiply
    13,543,578,034,824x = 20,315,367,052,236 × 13,543,578,034,824
  4. Step 4: Simplify right side
    13,543,578,034,824x = 275,142,758,978,050,678,195,224,576
  5. Step 5: Solve for x
    x = 275,142,758,978,050,678,195,224,576/13,543,578,034,824
  6. Step 6: Final answer
    x = 20,315,367,052,236

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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.