Finding the Fourth Proportional to 1,548,691,335,716.80, 2,137,200,687,649.90 and 844,772,539,566.62
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Solution
The fourth proportional to 1,548,691,335,716.80, 2,137,200,687,649.90 and 844,772,539,566.62 is: 1,165,789,728,935.17
Step by Step Solution
- Step 1: Write the proportion equation
1,548,691,335,716.80 : 2,137,200,687,649.90 = 844,772,539,566.62 : x - Step 2: Convert to fraction form
1,548,691,335,716.80/2,137,200,687,649.90 = 844,772,539,566.62/x - Step 3: Cross multiply
1,548,691,335,716.80x = 2,137,200,687,649.90 × 844,772,539,566.62 - Step 4: Simplify right side
1,548,691,335,716.80x = 1,805,448,452,469,532,609,478,656 - Step 5: Solve for x
x = 1,805,448,452,469,532,609,478,656/1,548,691,335,716.80 - Step 6: Final answer
x = 1,165,789,728,935.17
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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.