Finding the Fourth Proportional to 5,689,472,367,882, 7,851,268,721,409.40 and 3,220,230,224,750.40
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Solution
The fourth proportional to 5,689,472,367,882, 7,851,268,721,409.40 and 3,220,230,224,750.40 is: 4,443,802,729,765.60
Step by Step Solution
- Step 1: Write the proportion equation
5,689,472,367,882 : 7,851,268,721,409.40 = 3,220,230,224,750.40 : x - Step 2: Convert to fraction form
5,689,472,367,882/7,851,268,721,409.40 = 3,220,230,224,750.40/x - Step 3: Cross multiply
5,689,472,367,882x = 7,851,268,721,409.40 × 3,220,230,224,750.40 - Step 4: Simplify right side
5,689,472,367,882x = 25,282,892,839,319,978,347,855,872 - Step 5: Solve for x
x = 25,282,892,839,319,978,347,855,872/5,689,472,367,882 - Step 6: Final answer
x = 4,443,802,729,765.60
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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.