Finding the Fourth Proportional to 55,273,142,322,700, 76,279,334,114,416 and 30,609,100,457,192
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Solution
The fourth proportional to 55,273,142,322,700, 76,279,334,114,416 and 30,609,100,457,192 is: 42,241,886,431,649.12
Step by Step Solution
- Step 1: Write the proportion equation
55,273,142,322,700 : 76,279,334,114,416 = 30,609,100,457,192 : x - Step 2: Convert to fraction form
55,273,142,322,700/76,279,334,114,416 = 30,609,100,457,192/x - Step 3: Cross multiply
55,273,142,322,700x = 76,279,334,114,416 × 30,609,100,457,192 - Step 4: Simplify right side
55,273,142,322,700x = 2,334,841,800,715,872,000,624,558,080 - Step 5: Solve for x
x = 2,334,841,800,715,872,000,624,558,080/55,273,142,322,700 - Step 6: Final answer
x = 42,241,886,431,649.12
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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.