Finding the Fourth Proportional to 308,477,484,710.48, 462,504,986,344.92 and 157,090,744,416.08
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Solution
The fourth proportional to 308,477,484,710.48, 462,504,986,344.92 and 157,090,744,416.08 is: 235,528,543,255.80
Step by Step Solution
- Step 1: Write the proportion equation
308,477,484,710.48 : 462,504,986,344.92 = 157,090,744,416.08 : x - Step 2: Convert to fraction form
308,477,484,710.48/462,504,986,344.92 = 157,090,744,416.08/x - Step 3: Cross multiply
308,477,484,710.48x = 462,504,986,344.92 × 157,090,744,416.08 - Step 4: Simplify right side
308,477,484,710.48x = 72,655,252,601,072,389,193,728 - Step 5: Solve for x
x = 72,655,252,601,072,389,193,728/308,477,484,710.48 - Step 6: Final answer
x = 235,528,543,255.80
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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.