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Finding the Fourth Proportional to 181,009,188,045.22, 271,513,782,067.83 and 181,009,188,045.22

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Solution

The fourth proportional to 181,009,188,045.22, 271,513,782,067.83 and 181,009,188,045.22 is: 271,513,782,067.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,009,188,045.22 : 271,513,782,067.83 = 181,009,188,045.22 : x
  2. Step 2: Convert to fraction form
    181,009,188,045.22/271,513,782,067.83 = 181,009,188,045.22/x
  3. Step 3: Cross multiply
    181,009,188,045.22x = 271,513,782,067.83 × 181,009,188,045.22
  4. Step 4: Simplify right side
    181,009,188,045.22x = 49,146,489,235,184,719,757,312
  5. Step 5: Solve for x
    x = 49,146,489,235,184,719,757,312/181,009,188,045.22
  6. Step 6: Final answer
    x = 271,513,782,067.83

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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.