Finding the Fourth Proportional to 157,224,194,391.20, 235,836,291,586.80 and 157,224,194,391.20
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Solution
The fourth proportional to 157,224,194,391.20, 235,836,291,586.80 and 157,224,194,391.20 is: 235,836,291,586.80
Step by Step Solution
- Step 1: Write the proportion equation
157,224,194,391.20 : 235,836,291,586.80 = 157,224,194,391.20 : x - Step 2: Convert to fraction form
157,224,194,391.20/235,836,291,586.80 = 157,224,194,391.20/x - Step 3: Cross multiply
157,224,194,391.20x = 235,836,291,586.80 × 157,224,194,391.20 - Step 4: Simplify right side
157,224,194,391.20x = 37,079,170,952,942,768,357,376 - Step 5: Solve for x
x = 37,079,170,952,942,768,357,376/157,224,194,391.20 - Step 6: Final answer
x = 235,836,291,586.80
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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.