Finding the Fourth Proportional to 116,178,256,211.80, 160,324,363,861.68 and 64,738,984,113.04
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Solution
The fourth proportional to 116,178,256,211.80, 160,324,363,861.68 and 64,738,984,113.04 is: 89,338,889,938.69
Step by Step Solution
- Step 1: Write the proportion equation
116,178,256,211.80 : 160,324,363,861.68 = 64,738,984,113.04 : x - Step 2: Convert to fraction form
116,178,256,211.80/160,324,363,861.68 = 64,738,984,113.04/x - Step 3: Cross multiply
116,178,256,211.80x = 160,324,363,861.68 × 64,738,984,113.04 - Step 4: Simplify right side
116,178,256,211.80x = 10,379,236,444,974,545,371,136 - Step 5: Solve for x
x = 10,379,236,444,974,545,371,136/116,178,256,211.80 - Step 6: Final answer
x = 89,338,889,938.69
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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.