Finding the Fourth Proportional to 2,324,681,914.78, 3,207,922,800.74 and 1,320,960,176.12
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Solution
The fourth proportional to 2,324,681,914.78, 3,207,922,800.74 and 1,320,960,176.12 is: 1,822,846,489.63
Step by Step Solution
- Step 1: Write the proportion equation
2,324,681,914.78 : 3,207,922,800.74 = 1,320,960,176.12 : x - Step 2: Convert to fraction form
2,324,681,914.78/3,207,922,800.74 = 1,320,960,176.12/x - Step 3: Cross multiply
2,324,681,914.78x = 3,207,922,800.74 × 1,320,960,176.12 - Step 4: Simplify right side
2,324,681,914.78x = 4,237,538,267,858,573,824 - Step 5: Solve for x
x = 4,237,538,267,858,573,824/2,324,681,914.78 - Step 6: Final answer
x = 1,822,846,489.63
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1.5x scale
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.