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Finding the Fourth Proportional to 271,517,143,564.46, 407,275,715,346.70 and 271,517,143,564.46

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Solution

The fourth proportional to 271,517,143,564.46, 407,275,715,346.70 and 271,517,143,564.46 is: 407,275,715,346.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,517,143,564.46 : 407,275,715,346.70 = 271,517,143,564.46 : x
  2. Step 2: Convert to fraction form
    271,517,143,564.46/407,275,715,346.70 = 271,517,143,564.46/x
  3. Step 3: Cross multiply
    271,517,143,564.46x = 407,275,715,346.70 × 271,517,143,564.46
  4. Step 4: Simplify right side
    271,517,143,564.46x = 110,582,338,874,108,083,699,712
  5. Step 5: Solve for x
    x = 110,582,338,874,108,083,699,712/271,517,143,564.46
  6. Step 6: Final answer
    x = 407,275,715,346.70

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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.