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Finding the Fourth Proportional to 360,891,670,233.77, 541,337,505,350.67 and 360,891,670,233.77

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Solution

The fourth proportional to 360,891,670,233.77, 541,337,505,350.67 and 360,891,670,233.77 is: 541,337,505,350.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,891,670,233.77 : 541,337,505,350.67 = 360,891,670,233.77 : x
  2. Step 2: Convert to fraction form
    360,891,670,233.77/541,337,505,350.67 = 360,891,670,233.77/x
  3. Step 3: Cross multiply
    360,891,670,233.77x = 541,337,505,350.67 × 360,891,670,233.77
  4. Step 4: Simplify right side
    360,891,670,233.77x = 195,364,196,466,185,715,318,784
  5. Step 5: Solve for x
    x = 195,364,196,466,185,715,318,784/360,891,670,233.77
  6. Step 6: Final answer
    x = 541,337,505,350.67

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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.