Finding the Fourth Proportional to 209,451,761,596.29, 314,177,646,551.18 and 50,274,860,992.83
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Solution
The fourth proportional to 209,451,761,596.29, 314,177,646,551.18 and 50,274,860,992.83 is: 75,412,292,486.99
Step by Step Solution
- Step 1: Write the proportion equation
209,451,761,596.29 : 314,177,646,551.18 = 50,274,860,992.83 : x - Step 2: Convert to fraction form
209,451,761,596.29/314,177,646,551.18 = 50,274,860,992.83/x - Step 3: Cross multiply
209,451,761,596.29x = 314,177,646,551.18 × 50,274,860,992.83 - Step 4: Simplify right side
209,451,761,596.29x = 15,795,237,507,415,050,027,008 - Step 5: Solve for x
x = 15,795,237,507,415,050,027,008/209,451,761,596.29 - Step 6: Final answer
x = 75,412,292,486.99
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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.