Finding the Fourth Proportional to 4,888,503,910,650, 6,745,831,433,257.80 and 2,693,546,298,324.80
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Solution
The fourth proportional to 4,888,503,910,650, 6,745,831,433,257.80 and 2,693,546,298,324.80 is: 3,716,926,409,036.79
Step by Step Solution
- Step 1: Write the proportion equation
4,888,503,910,650 : 6,745,831,433,257.80 = 2,693,546,298,324.80 : x - Step 2: Convert to fraction form
4,888,503,910,650/6,745,831,433,257.80 = 2,693,546,298,324.80/x - Step 3: Cross multiply
4,888,503,910,650x = 6,745,831,433,257.80 × 2,693,546,298,324.80 - Step 4: Simplify right side
4,888,503,910,650x = 18,170,209,286,174,625,205,583,872 - Step 5: Solve for x
x = 18,170,209,286,174,625,205,583,872/4,888,503,910,650 - Step 6: Final answer
x = 3,716,926,409,036.79
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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.