Finding the Fourth Proportional to 6,144,098,299.28, 8,478,870,391.64 and 3,324,736,478.42
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Solution
The fourth proportional to 6,144,098,299.28, 8,478,870,391.64 and 3,324,736,478.42 is: 4,588,144,315.69
Step by Step Solution
- Step 1: Write the proportion equation
6,144,098,299.28 : 8,478,870,391.64 = 3,324,736,478.42 : x - Step 2: Convert to fraction form
6,144,098,299.28/8,478,870,391.64 = 3,324,736,478.42/x - Step 3: Cross multiply
6,144,098,299.28x = 8,478,870,391.64 × 3,324,736,478.42 - Step 4: Simplify right side
6,144,098,299.28x = 28,190,009,686,880,780,288 - Step 5: Solve for x
x = 28,190,009,686,880,780,288/6,144,098,299.28 - Step 6: Final answer
x = 4,588,144,315.69
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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.