Finding the Fourth Proportional to 242,138,313,867.40, 363,207,470,801.10 and 166,823,770,805.80
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Solution
The fourth proportional to 242,138,313,867.40, 363,207,470,801.10 and 166,823,770,805.80 is: 250,235,656,208.70
Step by Step Solution
- Step 1: Write the proportion equation
242,138,313,867.40 : 363,207,470,801.10 = 166,823,770,805.80 : x - Step 2: Convert to fraction form
242,138,313,867.40/363,207,470,801.10 = 166,823,770,805.80/x - Step 3: Cross multiply
242,138,313,867.40x = 363,207,470,801.10 × 166,823,770,805.80 - Step 4: Simplify right side
242,138,313,867.40x = 60,591,639,863,876,990,795,776 - Step 5: Solve for x
x = 60,591,639,863,876,990,795,776/242,138,313,867.40 - Step 6: Final answer
x = 250,235,656,208.70
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.