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Finding the Fourth Proportional to 181,565,228,218.60, 271,858,066,302.30 and 181,565,228,218.60

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Solution

The fourth proportional to 181,565,228,218.60, 271,858,066,302.30 and 181,565,228,218.60 is: 271,858,066,302.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,565,228,218.60 : 271,858,066,302.30 = 181,565,228,218.60 : x
  2. Step 2: Convert to fraction form
    181,565,228,218.60/271,858,066,302.30 = 181,565,228,218.60/x
  3. Step 3: Cross multiply
    181,565,228,218.60x = 271,858,066,302.30 × 181,565,228,218.60
  4. Step 4: Simplify right side
    181,565,228,218.60x = 49,359,971,851,244,385,861,632
  5. Step 5: Solve for x
    x = 49,359,971,851,244,385,861,632/181,565,228,218.60
  6. Step 6: Final answer
    x = 271,858,066,302.30

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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.