Finding the Fourth Proportional to 37,838,305,359.86, 52,192,257,458.24 and 24,268,448,724.09
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Solution
The fourth proportional to 37,838,305,359.86, 52,192,257,458.24 and 24,268,448,724.09 is: 33,474,678,949.64
Step by Step Solution
- Step 1: Write the proportion equation
37,838,305,359.86 : 52,192,257,458.24 = 24,268,448,724.09 : x - Step 2: Convert to fraction form
37,838,305,359.86/52,192,257,458.24 = 24,268,448,724.09/x - Step 3: Cross multiply
37,838,305,359.86x = 52,192,257,458.24 × 24,268,448,724.09 - Step 4: Simplify right side
37,838,305,359.86x = 1,266,625,123,919,717,466,112 - Step 5: Solve for x
x = 1,266,625,123,919,717,466,112/37,838,305,359.86 - Step 6: Final answer
x = 33,474,678,949.64
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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.