Finding the Fourth Proportional to 6,201,468,199,115.80, 9,302,202,298,672.70 and 6,201,468,199,115.80
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Solution
The fourth proportional to 6,201,468,199,115.80, 9,302,202,298,672.70 and 6,201,468,199,115.80 is: 9,302,202,298,672.70
Step by Step Solution
- Step 1: Write the proportion equation
6,201,468,199,115.80 : 9,302,202,298,672.70 = 6,201,468,199,115.80 : x - Step 2: Convert to fraction form
6,201,468,199,115.80/9,302,202,298,672.70 = 6,201,468,199,115.80/x - Step 3: Cross multiply
6,201,468,199,115.80x = 9,302,202,298,672.70 × 6,201,468,199,115.80 - Step 4: Simplify right side
6,201,468,199,115.80x = 57,687,311,736,960,640,880,738,304 - Step 5: Solve for x
x = 57,687,311,736,960,640,880,738,304/6,201,468,199,115.80 - Step 6: Final answer
x = 9,302,202,298,672.70
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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.