Finding the Fourth Proportional to 314,284,923,320.54, 471,427,384,448.01 and 75,519,572,380.70
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Solution
The fourth proportional to 314,284,923,320.54, 471,427,384,448.01 and 75,519,572,380.70 is: 113,279,358,443.02
Step by Step Solution
- Step 1: Write the proportion equation
314,284,923,320.54 : 471,427,384,448.01 = 75,519,572,380.70 : x - Step 2: Convert to fraction form
314,284,923,320.54/471,427,384,448.01 = 75,519,572,380.70/x - Step 3: Cross multiply
314,284,923,320.54x = 471,427,384,448.01 × 75,519,572,380.70 - Step 4: Simplify right side
314,284,923,320.54x = 35,601,994,482,065,575,247,872 - Step 5: Solve for x
x = 35,601,994,482,065,575,247,872/314,284,923,320.54 - Step 6: Final answer
x = 113,279,358,443.02
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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.