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Finding the Fourth Proportional to 508,315,015,840.73, 762,472,523,761.09 and 508,315,015,840.73

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Solution

The fourth proportional to 508,315,015,840.73, 762,472,523,761.09 and 508,315,015,840.73 is: 762,472,523,761.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,315,015,840.73 : 762,472,523,761.09 = 508,315,015,840.73 : x
  2. Step 2: Convert to fraction form
    508,315,015,840.73/762,472,523,761.09 = 508,315,015,840.73/x
  3. Step 3: Cross multiply
    508,315,015,840.73x = 762,472,523,761.09 × 508,315,015,840.73
  4. Step 4: Simplify right side
    508,315,015,840.73x = 387,576,232,993,739,790,876,672
  5. Step 5: Solve for x
    x = 387,576,232,993,739,790,876,672/508,315,015,840.73
  6. Step 6: Final answer
    x = 762,472,523,761.09

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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.