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Finding the Fourth Proportional to 463,669,991.90, 695,504,987.85 and 428,634,446.30

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Solution

The fourth proportional to 463,669,991.90, 695,504,987.85 and 428,634,446.30 is: 642,951,669.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,669,991.90 : 695,504,987.85 = 428,634,446.30 : x
  2. Step 2: Convert to fraction form
    463,669,991.90/695,504,987.85 = 428,634,446.30/x
  3. Step 3: Cross multiply
    463,669,991.90x = 695,504,987.85 × 428,634,446.30
  4. Step 4: Simplify right side
    463,669,991.90x = 298,117,395,365,972,992
  5. Step 5: Solve for x
    x = 298,117,395,365,972,992/463,669,991.90
  6. Step 6: Final answer
    x = 642,951,669.45

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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.