Finding the Fourth Proportional to 200,375,728,416.75, 276,516,540,730.26 and 108,918,837,755.55
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Solution
The fourth proportional to 200,375,728,416.75, 276,516,540,730.26 and 108,918,837,755.55 is: 150,306,928,261.71
Step by Step Solution
- Step 1: Write the proportion equation
200,375,728,416.75 : 276,516,540,730.26 = 108,918,837,755.55 : x - Step 2: Convert to fraction form
200,375,728,416.75/276,516,540,730.26 = 108,918,837,755.55/x - Step 3: Cross multiply
200,375,728,416.75x = 276,516,540,730.26 × 108,918,837,755.55 - Step 4: Simplify right side
200,375,728,416.75x = 30,117,860,236,525,123,403,776 - Step 5: Solve for x
x = 30,117,860,236,525,123,403,776/200,375,728,416.75 - Step 6: Final answer
x = 150,306,928,261.71
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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.