Finding the Fourth Proportional to 29,367,776,443,664, 40,527,657,489,012 and 16,019,390,383,334
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Solution
The fourth proportional to 29,367,776,443,664, 40,527,657,489,012 and 16,019,390,383,334 is: 22,106,827,457,092.07
Step by Step Solution
- Step 1: Write the proportion equation
29,367,776,443,664 : 40,527,657,489,012 = 16,019,390,383,334 : x - Step 2: Convert to fraction form
29,367,776,443,664/40,527,657,489,012 = 16,019,390,383,334/x - Step 3: Cross multiply
29,367,776,443,664x = 40,527,657,489,012 × 16,019,390,383,334 - Step 4: Simplify right side
29,367,776,443,664x = 649,228,366,638,532,990,825,660,416 - Step 5: Solve for x
x = 649,228,366,638,532,990,825,660,416/29,367,776,443,664 - Step 6: Final answer
x = 22,106,827,457,092.07
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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.