Finding the Fourth Proportional to 772,101,638.26, 1,158,306,575.24 and 403,802,396.44
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Solution
The fourth proportional to 772,101,638.26, 1,158,306,575.24 and 403,802,396.44 is: 605,784,196.95
Step by Step Solution
- Step 1: Write the proportion equation
772,101,638.26 : 1,158,306,575.24 = 403,802,396.44 : x - Step 2: Convert to fraction form
772,101,638.26/1,158,306,575.24 = 403,802,396.44/x - Step 3: Cross multiply
772,101,638.26x = 1,158,306,575.24 × 403,802,396.44 - Step 4: Simplify right side
772,101,638.26x = 467,726,970,894,121,152 - Step 5: Solve for x
x = 467,726,970,894,121,152/772,101,638.26 - Step 6: Final answer
x = 605,784,196.95
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.