Finding the Fourth Proportional to 4,080,894,606,020, 6,121,364,794,244.70 and 1,361,200,564,205.20
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Solution
The fourth proportional to 4,080,894,606,020, 6,121,364,794,244.70 and 1,361,200,564,205.20 is: 2,041,808,479,773.05
Step by Step Solution
- Step 1: Write the proportion equation
4,080,894,606,020 : 6,121,364,794,244.70 = 1,361,200,564,205.20 : x - Step 2: Convert to fraction form
4,080,894,606,020/6,121,364,794,244.70 = 1,361,200,564,205.20/x - Step 3: Cross multiply
4,080,894,606,020x = 6,121,364,794,244.70 × 1,361,200,564,205.20 - Step 4: Simplify right side
4,080,894,606,020x = 8,332,405,211,631,733,312,585,728 - Step 5: Solve for x
x = 8,332,405,211,631,733,312,585,728/4,080,894,606,020 - Step 6: Final answer
x = 2,041,808,479,773.05
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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.