Finding the Fourth Proportional to 68,782,142,921.12, 103,212,530,391.36 and 37,342,348,452.80
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Solution
The fourth proportional to 68,782,142,921.12, 103,212,530,391.36 and 37,342,348,452.80 is: 56,034,867,639.84
Step by Step Solution
- Step 1: Write the proportion equation
68,782,142,921.12 : 103,212,530,391.36 = 37,342,348,452.80 : x - Step 2: Convert to fraction form
68,782,142,921.12/103,212,530,391.36 = 37,342,348,452.80/x - Step 3: Cross multiply
68,782,142,921.12x = 103,212,530,391.36 × 37,342,348,452.80 - Step 4: Simplify right side
68,782,142,921.12x = 3,854,198,274,569,375,580,160 - Step 5: Solve for x
x = 3,854,198,274,569,375,580,160/68,782,142,921.12 - Step 6: Final answer
x = 56,034,867,639.84
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1.5x scale
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.