Finding the Fourth Proportional to 55,273,142,322,606, 76,279,334,114,280 and 30,609,100,457,100
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Solution
The fourth proportional to 55,273,142,322,606, 76,279,334,114,280 and 30,609,100,457,100 is: 42,241,886,431,518.69
Step by Step Solution
- Step 1: Write the proportion equation
55,273,142,322,606 : 76,279,334,114,280 = 30,609,100,457,100 : x - Step 2: Convert to fraction form
55,273,142,322,606/76,279,334,114,280 = 30,609,100,457,100/x - Step 3: Cross multiply
55,273,142,322,606x = 76,279,334,114,280 × 30,609,100,457,100 - Step 4: Simplify right side
55,273,142,322,606x = 2,334,841,800,704,691,616,637,517,824 - Step 5: Solve for x
x = 2,334,841,800,704,691,616,637,517,824/55,273,142,322,606 - Step 6: Final answer
x = 42,241,886,431,518.69
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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.