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Finding the Fourth Proportional to 18,124,368,191,998, 27,186,552,287,998 and 18,124,368,191,998

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Solution

The fourth proportional to 18,124,368,191,998, 27,186,552,287,998 and 18,124,368,191,998 is: 27,186,552,287,998

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,124,368,191,998 : 27,186,552,287,998 = 18,124,368,191,998 : x
  2. Step 2: Convert to fraction form
    18,124,368,191,998/27,186,552,287,998 = 18,124,368,191,998/x
  3. Step 3: Cross multiply
    18,124,368,191,998x = 27,186,552,287,998 × 18,124,368,191,998
  4. Step 4: Simplify right side
    18,124,368,191,998x = 492,739,083,538,681,385,245,999,104
  5. Step 5: Solve for x
    x = 492,739,083,538,681,385,245,999,104/18,124,368,191,998
  6. Step 6: Final answer
    x = 27,186,552,287,998

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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.