Finding the Fourth Proportional to 173,336,398,494.24, 239,206,169,132.64 and 96,175,635,369.12
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Solution
The fourth proportional to 173,336,398,494.24, 239,206,169,132.64 and 96,175,635,369.12 is: 132,723,452,779.65
Step by Step Solution
- Step 1: Write the proportion equation
173,336,398,494.24 : 239,206,169,132.64 = 96,175,635,369.12 : x - Step 2: Convert to fraction form
173,336,398,494.24/239,206,169,132.64 = 96,175,635,369.12/x - Step 3: Cross multiply
173,336,398,494.24x = 239,206,169,132.64 × 96,175,635,369.12 - Step 4: Simplify right side
173,336,398,494.24x = 23,005,805,300,544,832,536,576 - Step 5: Solve for x
x = 23,005,805,300,544,832,536,576/173,336,398,494.24 - Step 6: Final answer
x = 132,723,452,779.65
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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.