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Finding the Fourth Proportional to 338,876,677,227.15, 508,315,015,840.73 and 338,876,677,227.15

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Solution

The fourth proportional to 338,876,677,227.15, 508,315,015,840.73 and 338,876,677,227.15 is: 508,315,015,840.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,876,677,227.15 : 508,315,015,840.73 = 338,876,677,227.15 : x
  2. Step 2: Convert to fraction form
    338,876,677,227.15/508,315,015,840.73 = 338,876,677,227.15/x
  3. Step 3: Cross multiply
    338,876,677,227.15x = 508,315,015,840.73 × 338,876,677,227.15
  4. Step 4: Simplify right side
    338,876,677,227.15x = 172,256,103,552,772,703,518,720
  5. Step 5: Solve for x
    x = 172,256,103,552,772,703,518,720/338,876,677,227.15
  6. Step 6: Final answer
    x = 508,315,015,840.73

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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.