Finding the Fourth Proportional to 119,855,383,523.68, 165,267,911,149.68 and 76,382,836,412.80
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Solution
The fourth proportional to 119,855,383,523.68, 165,267,911,149.68 and 76,382,836,412.80 is: 105,323,861,561.36
Step by Step Solution
- Step 1: Write the proportion equation
119,855,383,523.68 : 165,267,911,149.68 = 76,382,836,412.80 : x - Step 2: Convert to fraction form
119,855,383,523.68/165,267,911,149.68 = 76,382,836,412.80/x - Step 3: Cross multiply
119,855,383,523.68x = 165,267,911,149.68 × 76,382,836,412.80 - Step 4: Simplify right side
119,855,383,523.68x = 12,623,631,821,631,171,592,192 - Step 5: Solve for x
x = 12,623,631,821,631,171,592,192/119,855,383,523.68 - Step 6: Final answer
x = 105,323,861,561.36
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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.