Finding the Fourth Proportional to 766,157,987,195.64, 1,149,238,086,863.60 and 312,876,891,271.14
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Solution
The fourth proportional to 766,157,987,195.64, 1,149,238,086,863.60 and 312,876,891,271.14 is: 469,315,788,593.95
Step by Step Solution
- Step 1: Write the proportion equation
766,157,987,195.64 : 1,149,238,086,863.60 = 312,876,891,271.14 : x - Step 2: Convert to fraction form
766,157,987,195.64/1,149,238,086,863.60 = 312,876,891,271.14/x - Step 3: Cross multiply
766,157,987,195.64x = 1,149,238,086,863.60 × 312,876,891,271.14 - Step 4: Simplify right side
766,157,987,195.64x = 359,570,039,948,275,540,295,680 - Step 5: Solve for x
x = 359,570,039,948,275,540,295,680/766,157,987,195.64 - Step 6: Final answer
x = 469,315,788,593.95
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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.