Finding the Fourth Proportional to 257,431,393,125.20, 386,147,089,687.80 and 257,431,393,125.20
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Solution
The fourth proportional to 257,431,393,125.20, 386,147,089,687.80 and 257,431,393,125.20 is: 386,147,089,687.80
Step by Step Solution
- Step 1: Write the proportion equation
257,431,393,125.20 : 386,147,089,687.80 = 257,431,393,125.20 : x - Step 2: Convert to fraction form
257,431,393,125.20/386,147,089,687.80 = 257,431,393,125.20/x - Step 3: Cross multiply
257,431,393,125.20x = 386,147,089,687.80 × 257,431,393,125.20 - Step 4: Simplify right side
257,431,393,125.20x = 99,406,383,249,571,901,865,984 - Step 5: Solve for x
x = 99,406,383,249,571,901,865,984/257,431,393,125.20 - Step 6: Final answer
x = 386,147,089,687.80
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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.