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Finding the Fourth Proportional to 367,458,804,569.30, 551,188,206,853.95 and 367,458,804,569.30

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Solution

The fourth proportional to 367,458,804,569.30, 551,188,206,853.95 and 367,458,804,569.30 is: 551,188,206,853.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,458,804,569.30 : 551,188,206,853.95 = 367,458,804,569.30 : x
  2. Step 2: Convert to fraction form
    367,458,804,569.30/551,188,206,853.95 = 367,458,804,569.30/x
  3. Step 3: Cross multiply
    367,458,804,569.30x = 551,188,206,853.95 × 367,458,804,569.30
  4. Step 4: Simplify right side
    367,458,804,569.30x = 202,538,959,583,248,505,634,816
  5. Step 5: Solve for x
    x = 202,538,959,583,248,505,634,816/367,458,804,569.30
  6. Step 6: Final answer
    x = 551,188,206,853.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.