Finding the Fourth Proportional to 522,224,259,744.70, 783,694,206,670.55 and 182,263,437,718.35
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Solution
The fourth proportional to 522,224,259,744.70, 783,694,206,670.55 and 182,263,437,718.35 is: 273,520,039,642.66
Step by Step Solution
- Step 1: Write the proportion equation
522,224,259,744.70 : 783,694,206,670.55 = 182,263,437,718.35 : x - Step 2: Convert to fraction form
522,224,259,744.70/783,694,206,670.55 = 182,263,437,718.35/x - Step 3: Cross multiply
522,224,259,744.70x = 783,694,206,670.55 × 182,263,437,718.35 - Step 4: Simplify right side
522,224,259,744.70x = 142,838,800,227,729,510,760,448 - Step 5: Solve for x
x = 142,838,800,227,729,510,760,448/522,224,259,744.70 - Step 6: Final answer
x = 273,520,039,642.66
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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.