Finding the Fourth Proportional to 217,446,715,661.08, 300,085,768,124.55 and 121,102,786,675.05
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Solution
The fourth proportional to 217,446,715,661.08, 300,085,768,124.55 and 121,102,786,675.05 is: 167,127,025,353.87
Step by Step Solution
- Step 1: Write the proportion equation
217,446,715,661.08 : 300,085,768,124.55 = 121,102,786,675.05 : x - Step 2: Convert to fraction form
217,446,715,661.08/300,085,768,124.55 = 121,102,786,675.05/x - Step 3: Cross multiply
217,446,715,661.08x = 300,085,768,124.55 × 121,102,786,675.05 - Step 4: Simplify right side
217,446,715,661.08x = 36,341,222,761,405,895,147,520 - Step 5: Solve for x
x = 36,341,222,761,405,895,147,520/217,446,715,661.08 - Step 6: Final answer
x = 167,127,025,353.87
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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.