Finding the Fourth Proportional to 12,082,784,257,675, 18,124,176,386,509 and 12,082,784,257,675
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Solution
The fourth proportional to 12,082,784,257,675, 18,124,176,386,509 and 12,082,784,257,675 is: 18,124,176,386,509
Step by Step Solution
- Step 1: Write the proportion equation
12,082,784,257,675 : 18,124,176,386,509 = 12,082,784,257,675 : x - Step 2: Convert to fraction form
12,082,784,257,675/18,124,176,386,509 = 12,082,784,257,675/x - Step 3: Cross multiply
12,082,784,257,675x = 18,124,176,386,509 × 12,082,784,257,675 - Step 4: Simplify right side
12,082,784,257,675x = 218,990,513,126,235,924,401,750,016 - Step 5: Solve for x
x = 218,990,513,126,235,924,401,750,016/12,082,784,257,675 - Step 6: Final answer
x = 18,124,176,386,509
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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.