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Finding the Fourth Proportional to 274,710,753,669.82, 412,066,130,504.73 and 274,710,753,669.82

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Solution

The fourth proportional to 274,710,753,669.82, 412,066,130,504.73 and 274,710,753,669.82 is: 412,066,130,504.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,710,753,669.82 : 412,066,130,504.73 = 274,710,753,669.82 : x
  2. Step 2: Convert to fraction form
    274,710,753,669.82/412,066,130,504.73 = 274,710,753,669.82/x
  3. Step 3: Cross multiply
    274,710,753,669.82x = 412,066,130,504.73 × 274,710,753,669.82
  4. Step 4: Simplify right side
    274,710,753,669.82x = 113,198,997,272,760,789,499,904
  5. Step 5: Solve for x
    x = 113,198,997,272,760,789,499,904/274,710,753,669.82
  6. Step 6: Final answer
    x = 412,066,130,504.73

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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.