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Finding the Fourth Proportional to 183,898,512,111.80, 275,847,768,167.70 and 183,898,512,111.80

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Solution

The fourth proportional to 183,898,512,111.80, 275,847,768,167.70 and 183,898,512,111.80 is: 275,847,768,167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,898,512,111.80 : 275,847,768,167.70 = 183,898,512,111.80 : x
  2. Step 2: Convert to fraction form
    183,898,512,111.80/275,847,768,167.70 = 183,898,512,111.80/x
  3. Step 3: Cross multiply
    183,898,512,111.80x = 275,847,768,167.70 × 183,898,512,111.80
  4. Step 4: Simplify right side
    183,898,512,111.80x = 50,727,994,135,400,773,844,992
  5. Step 5: Solve for x
    x = 50,727,994,135,400,773,844,992/183,898,512,111.80
  6. Step 6: Final answer
    x = 275,847,768,167.70

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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.