Finding the Fourth Proportional to 195,686,882.14, 270,048,071.09 and 107,582,378.82
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Solution
The fourth proportional to 195,686,882.14, 270,048,071.09 and 107,582,378.82 is: 148,463,778.29
Step by Step Solution
- Step 1: Write the proportion equation
195,686,882.14 : 270,048,071.09 = 107,582,378.82 : x - Step 2: Convert to fraction form
195,686,882.14/270,048,071.09 = 107,582,378.82/x - Step 3: Cross multiply
195,686,882.14x = 270,048,071.09 × 107,582,378.82 - Step 4: Simplify right side
195,686,882.14x = 29,052,413,883,614,664 - Step 5: Solve for x
x = 29,052,413,883,614,664/195,686,882.14 - Step 6: Final answer
x = 148,463,778.29
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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.