Finding the Fourth Proportional to 2,087,431,124,669.10, 3,131,597,367,207.90 and 635,407,329,606.07
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Solution
The fourth proportional to 2,087,431,124,669.10, 3,131,597,367,207.90 and 635,407,329,606.07 is: 953,248,180,015.71
Step by Step Solution
- Step 1: Write the proportion equation
2,087,431,124,669.10 : 3,131,597,367,207.90 = 635,407,329,606.07 : x - Step 2: Convert to fraction form
2,087,431,124,669.10/3,131,597,367,207.90 = 635,407,329,606.07/x - Step 3: Cross multiply
2,087,431,124,669.10x = 3,131,597,367,207.90 × 635,407,329,606.07 - Step 4: Simplify right side
2,087,431,124,669.10x = 1,989,839,920,498,970,992,836,608 - Step 5: Solve for x
x = 1,989,839,920,498,970,992,836,608/2,087,431,124,669.10 - Step 6: Final answer
x = 953,248,180,015.71
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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.