Finding the Fourth Proportional to 51,145,446,970,992, 76,722,680,512,806 and 14,429,999,492,152
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Solution
The fourth proportional to 51,145,446,970,992, 76,722,680,512,806 and 14,429,999,492,152 is: 21,646,271,689,916.91
Step by Step Solution
- Step 1: Write the proportion equation
51,145,446,970,992 : 76,722,680,512,806 = 14,429,999,492,152 : x - Step 2: Convert to fraction form
51,145,446,970,992/76,722,680,512,806 = 14,429,999,492,152/x - Step 3: Cross multiply
51,145,446,970,992x = 76,722,680,512,806 × 14,429,999,492,152 - Step 4: Simplify right side
51,145,446,970,992x = 1,107,108,240,836,330,780,589,293,568 - Step 5: Solve for x
x = 1,107,108,240,836,330,780,589,293,568/51,145,446,970,992 - Step 6: Final answer
x = 21,646,271,689,916.91
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.