Finding the Fourth Proportional to 314,284,923,319.80, 471,427,384,446.90 and 75,519,572,379.95
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Solution
The fourth proportional to 314,284,923,319.80, 471,427,384,446.90 and 75,519,572,379.95 is: 113,279,358,441.90
Step by Step Solution
- Step 1: Write the proportion equation
314,284,923,319.80 : 471,427,384,446.90 = 75,519,572,379.95 : x - Step 2: Convert to fraction form
314,284,923,319.80/471,427,384,446.90 = 75,519,572,379.95/x - Step 3: Cross multiply
314,284,923,319.80x = 471,427,384,446.90 × 75,519,572,379.95 - Step 4: Simplify right side
314,284,923,319.80x = 35,601,994,481,629,120,167,936 - Step 5: Solve for x
x = 35,601,994,481,629,120,167,936/314,284,923,319.80 - Step 6: Final answer
x = 113,279,358,441.90
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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.