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Finding the Fourth Proportional to 181,011,429,043.85, 271,517,143,565.77 and 181,011,429,043.85

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Solution

The fourth proportional to 181,011,429,043.85, 271,517,143,565.77 and 181,011,429,043.85 is: 271,517,143,565.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,011,429,043.85 : 271,517,143,565.77 = 181,011,429,043.85 : x
  2. Step 2: Convert to fraction form
    181,011,429,043.85/271,517,143,565.77 = 181,011,429,043.85/x
  3. Step 3: Cross multiply
    181,011,429,043.85x = 271,517,143,565.77 × 181,011,429,043.85
  4. Step 4: Simplify right side
    181,011,429,043.85x = 49,147,706,166,744,212,045,824
  5. Step 5: Solve for x
    x = 49,147,706,166,744,212,045,824/181,011,429,043.85
  6. Step 6: Final answer
    x = 271,517,143,565.77

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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.