Finding the Fourth Proportional to 7,541,717,425.07, 10,407,892,616.84 and 4,200,215,171.63
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Solution
The fourth proportional to 7,541,717,425.07, 10,407,892,616.84 and 4,200,215,171.63 is: 5,796,476,586.17
Step by Step Solution
- Step 1: Write the proportion equation
7,541,717,425.07 : 10,407,892,616.84 = 4,200,215,171.63 : x - Step 2: Convert to fraction form
7,541,717,425.07/10,407,892,616.84 = 4,200,215,171.63/x - Step 3: Cross multiply
7,541,717,425.07x = 10,407,892,616.84 × 4,200,215,171.63 - Step 4: Simplify right side
7,541,717,425.07x = 43,715,388,473,907,789,824 - Step 5: Solve for x
x = 43,715,388,473,907,789,824/7,541,717,425.07 - Step 6: Final answer
x = 5,796,476,586.17
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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.