Finding the Fourth Proportional to 12,082,784,256,643, 18,124,176,384,964 and 12,082,784,256,643
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Solution
The fourth proportional to 12,082,784,256,643, 18,124,176,384,964 and 12,082,784,256,643 is: 18,124,176,384,964
Step by Step Solution
- Step 1: Write the proportion equation
12,082,784,256,643 : 18,124,176,384,964 = 12,082,784,256,643 : x - Step 2: Convert to fraction form
12,082,784,256,643/18,124,176,384,964 = 12,082,784,256,643/x - Step 3: Cross multiply
12,082,784,256,643x = 18,124,176,384,964 × 12,082,784,256,643 - Step 4: Simplify right side
12,082,784,256,643x = 218,990,513,088,863,867,771,027,456 - Step 5: Solve for x
x = 218,990,513,088,863,867,771,027,456/12,082,784,256,643 - Step 6: Final answer
x = 18,124,176,384,964
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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.