Finding the Fourth Proportional to 10,685,203,056,684, 14,744,770,983,389 and 5,996,696,318,948.70
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Solution
The fourth proportional to 10,685,203,056,684, 14,744,770,983,389 and 5,996,696,318,948.70 is: 8,274,986,765,414.85
Step by Step Solution
- Step 1: Write the proportion equation
10,685,203,056,684 : 14,744,770,983,389 = 5,996,696,318,948.70 : x - Step 2: Convert to fraction form
10,685,203,056,684/14,744,770,983,389 = 5,996,696,318,948.70/x - Step 3: Cross multiply
10,685,203,056,684x = 14,744,770,983,389 × 5,996,696,318,948.70 - Step 4: Simplify right side
10,685,203,056,684x = 88,419,913,879,830,429,895,229,440 - Step 5: Solve for x
x = 88,419,913,879,830,429,895,229,440/10,685,203,056,684 - Step 6: Final answer
x = 8,274,986,765,414.85
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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.