Finding the Fourth Proportional to 32,150,916,062,205, 48,226,371,433,592 and 8,916,718,336,504.60
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Solution
The fourth proportional to 32,150,916,062,205, 48,226,371,433,592 and 8,916,718,336,504.60 is: 13,375,076,767,112.79
Step by Step Solution
- Step 1: Write the proportion equation
32,150,916,062,205 : 48,226,371,433,592 = 8,916,718,336,504.60 : x - Step 2: Convert to fraction form
32,150,916,062,205/48,226,371,433,592 = 8,916,718,336,504.60/x - Step 3: Cross multiply
32,150,916,062,205x = 48,226,371,433,592 × 8,916,718,336,504.60 - Step 4: Simplify right side
32,150,916,062,205x = 430,020,970,464,991,429,930,254,336 - Step 5: Solve for x
x = 430,020,970,464,991,429,930,254,336/32,150,916,062,205 - Step 6: Final answer
x = 13,375,076,767,112.79
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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.