Finding the Fourth Proportional to 5,996,264,761,016, 8,274,845,370,201.90 and 3,429,991,441,879.80
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Solution
The fourth proportional to 5,996,264,761,016, 8,274,845,370,201.90 and 3,429,991,441,879.80 is: 4,733,388,189,794.02
Step by Step Solution
- Step 1: Write the proportion equation
5,996,264,761,016 : 8,274,845,370,201.90 = 3,429,991,441,879.80 : x - Step 2: Convert to fraction form
5,996,264,761,016/8,274,845,370,201.90 = 3,429,991,441,879.80/x - Step 3: Cross multiply
5,996,264,761,016x = 8,274,845,370,201.90 × 3,429,991,441,879.80 - Step 4: Simplify right side
5,996,264,761,016x = 28,382,648,802,671,201,487,945,728 - Step 5: Solve for x
x = 28,382,648,802,671,201,487,945,728/5,996,264,761,016 - Step 6: Final answer
x = 4,733,388,189,794.02
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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.