Finding the Fourth Proportional to 282,760,512.08, 424,140,768.11 and 262,353,177.68
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Solution
The fourth proportional to 282,760,512.08, 424,140,768.11 and 262,353,177.68 is: 393,529,766.51
Step by Step Solution
- Step 1: Write the proportion equation
282,760,512.08 : 424,140,768.11 = 262,353,177.68 : x - Step 2: Convert to fraction form
282,760,512.08/424,140,768.11 = 262,353,177.68/x - Step 3: Cross multiply
282,760,512.08x = 424,140,768.11 × 262,353,177.68 - Step 4: Simplify right side
282,760,512.08x = 111,274,678,295,829,696 - Step 5: Solve for x
x = 111,274,678,295,829,696/282,760,512.08 - Step 6: Final answer
x = 393,529,766.51
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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.