Finding the Fourth Proportional to 491,242,020,608.02, 677,949,068,351.08 and 271,505,985,676.02
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Solution
The fourth proportional to 491,242,020,608.02, 677,949,068,351.08 and 271,505,985,676.02 is: 374,697,648,651.83
Step by Step Solution
- Step 1: Write the proportion equation
491,242,020,608.02 : 677,949,068,351.08 = 271,505,985,676.02 : x - Step 2: Convert to fraction form
491,242,020,608.02/677,949,068,351.08 = 271,505,985,676.02/x - Step 3: Cross multiply
491,242,020,608.02x = 677,949,068,351.08 × 271,505,985,676.02 - Step 4: Simplify right side
491,242,020,608.02x = 184,067,230,040,799,395,708,928 - Step 5: Solve for x
x = 184,067,230,040,799,395,708,928/491,242,020,608.02 - Step 6: Final answer
x = 374,697,648,651.83
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.