Finding the Fourth Proportional to 147,098,539,597.44, 220,678,798,119.36 and 47,717,424,266.88
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Solution
The fourth proportional to 147,098,539,597.44, 220,678,798,119.36 and 47,717,424,266.88 is: 71,586,188,859.42
Step by Step Solution
- Step 1: Write the proportion equation
147,098,539,597.44 : 220,678,798,119.36 = 47,717,424,266.88 : x - Step 2: Convert to fraction form
147,098,539,597.44/220,678,798,119.36 = 47,717,424,266.88/x - Step 3: Cross multiply
147,098,539,597.44x = 220,678,798,119.36 × 47,717,424,266.88 - Step 4: Simplify right side
147,098,539,597.44x = 10,530,223,836,566,659,268,608 - Step 5: Solve for x
x = 10,530,223,836,566,659,268,608/147,098,539,597.44 - Step 6: Final answer
x = 71,586,188,859.42
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1.5x scale
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.