Finding the Fourth Proportional to 4,091,993,649, 5,646,940,614.36 and 2,283,486,556.12
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Solution
The fourth proportional to 4,091,993,649, 5,646,940,614.36 and 2,283,486,556.12 is: 3,151,205,520.38
Step by Step Solution
- Step 1: Write the proportion equation
4,091,993,649 : 5,646,940,614.36 = 2,283,486,556.12 : x - Step 2: Convert to fraction form
4,091,993,649/5,646,940,614.36 = 2,283,486,556.12/x - Step 3: Cross multiply
4,091,993,649x = 5,646,940,614.36 × 2,283,486,556.12 - Step 4: Simplify right side
4,091,993,649x = 12,894,712,976,099,072,000 - Step 5: Solve for x
x = 12,894,712,976,099,072,000/4,091,993,649 - Step 6: Final answer
x = 3,151,205,520.38
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Double scale
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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.