Finding the Fourth Proportional to 303,089,783,022.44, 418,235,289,330.70 and 181,130,236,925.83
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Solution
The fourth proportional to 303,089,783,022.44, 418,235,289,330.70 and 181,130,236,925.83 is: 249,942,628,523.39
Step by Step Solution
- Step 1: Write the proportion equation
303,089,783,022.44 : 418,235,289,330.70 = 181,130,236,925.83 : x - Step 2: Convert to fraction form
303,089,783,022.44/418,235,289,330.70 = 181,130,236,925.83/x - Step 3: Cross multiply
303,089,783,022.44x = 418,235,289,330.70 × 181,130,236,925.83 - Step 4: Simplify right side
303,089,783,022.44x = 75,755,057,047,212,746,866,688 - Step 5: Solve for x
x = 75,755,057,047,212,746,866,688/303,089,783,022.44 - Step 6: Final answer
x = 249,942,628,523.39
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.