Finding the Fourth Proportional to 51,309,144,277,416, 70,809,163,060,652 and 31,827,782,472,148
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Solution
The fourth proportional to 51,309,144,277,416, 70,809,163,060,652 and 31,827,782,472,148 is: 43,923,917,864,310.73
Step by Step Solution
- Step 1: Write the proportion equation
51,309,144,277,416 : 70,809,163,060,652 = 31,827,782,472,148 : x - Step 2: Convert to fraction form
51,309,144,277,416/70,809,163,060,652 = 31,827,782,472,148/x - Step 3: Cross multiply
51,309,144,277,416x = 70,809,163,060,652 × 31,827,782,472,148 - Step 4: Simplify right side
51,309,144,277,416x = 2,253,698,638,929,289,300,192,264,192 - Step 5: Solve for x
x = 2,253,698,638,929,289,300,192,264,192/51,309,144,277,416 - Step 6: Final answer
x = 43,923,917,864,310.73
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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.