Finding the Fourth Proportional to 27,379,358,619,878, 37,784,421,023,164 and 15,047,774,786,222
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Solution
The fourth proportional to 27,379,358,619,878, 37,784,421,023,164 and 15,047,774,786,222 is: 20,766,427,215,412.15
Step by Step Solution
- Step 1: Write the proportion equation
27,379,358,619,878 : 37,784,421,023,164 = 15,047,774,786,222 : x - Step 2: Convert to fraction form
27,379,358,619,878/37,784,421,023,164 = 15,047,774,786,222/x - Step 3: Cross multiply
27,379,358,619,878x = 37,784,421,023,164 × 15,047,774,786,222 - Step 4: Simplify right side
27,379,358,619,878x = 568,571,457,984,363,715,222,306,816 - Step 5: Solve for x
x = 568,571,457,984,363,715,222,306,816/27,379,358,619,878 - Step 6: Final answer
x = 20,766,427,215,412.15
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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.