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Finding the Fourth Proportional to 6,192,772,046.33, 9,289,158,069.49 and 6,192,772,046.33

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Solution

The fourth proportional to 6,192,772,046.33, 9,289,158,069.49 and 6,192,772,046.33 is: 9,289,158,069.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192,772,046.33 : 9,289,158,069.49 = 6,192,772,046.33 : x
  2. Step 2: Convert to fraction form
    6,192,772,046.33/9,289,158,069.49 = 6,192,772,046.33/x
  3. Step 3: Cross multiply
    6,192,772,046.33x = 9,289,158,069.49 × 6,192,772,046.33
  4. Step 4: Simplify right side
    6,192,772,046.33x = 57,525,638,426,616,487,936
  5. Step 5: Solve for x
    x = 57,525,638,426,616,487,936/6,192,772,046.33
  6. Step 6: Final answer
    x = 9,289,158,069.49

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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.