Finding the Fourth Proportional to 4,191,622,832.14, 5,784,457,491.70 and 2,286,425,826.43
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Solution
The fourth proportional to 4,191,622,832.14, 5,784,457,491.70 and 2,286,425,826.43 is: 3,155,277,449.94
Step by Step Solution
- Step 1: Write the proportion equation
4,191,622,832.14 : 5,784,457,491.70 = 2,286,425,826.43 : x - Step 2: Convert to fraction form
4,191,622,832.14/5,784,457,491.70 = 2,286,425,826.43/x - Step 3: Cross multiply
4,191,622,832.14x = 5,784,457,491.70 × 2,286,425,826.43 - Step 4: Simplify right side
4,191,622,832.14x = 13,225,733,000,889,198,592 - Step 5: Solve for x
x = 13,225,733,000,889,198,592/4,191,622,832.14 - Step 6: Final answer
x = 3,155,277,449.94
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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.