Finding the Fourth Proportional to 11,467,916,639,114, 15,825,731,310,586 and 6,194,365,222,829.80
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Solution
The fourth proportional to 11,467,916,639,114, 15,825,731,310,586 and 6,194,365,222,829.80 is: 8,548,227,436,689.52
Step by Step Solution
- Step 1: Write the proportion equation
11,467,916,639,114 : 15,825,731,310,586 = 6,194,365,222,829.80 : x - Step 2: Convert to fraction form
11,467,916,639,114/15,825,731,310,586 = 6,194,365,222,829.80/x - Step 3: Cross multiply
11,467,916,639,114x = 15,825,731,310,586 × 6,194,365,222,829.80 - Step 4: Simplify right side
11,467,916,639,114x = 98,030,359,656,142,585,622,167,552 - Step 5: Solve for x
x = 98,030,359,656,142,585,622,167,552/11,467,916,639,114 - Step 6: Final answer
x = 8,548,227,436,689.52
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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.