Finding the Fourth Proportional to 36,728,554,400,200, 50,685,103,856,044 and 20,061,538,416,564
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Solution
The fourth proportional to 36,728,554,400,200, 50,685,103,856,044 and 20,061,538,416,564 is: 27,684,758,487,255.52
Step by Step Solution
- Step 1: Write the proportion equation
36,728,554,400,200 : 50,685,103,856,044 = 20,061,538,416,564 : x - Step 2: Convert to fraction form
36,728,554,400,200/50,685,103,856,044 = 20,061,538,416,564/x - Step 3: Cross multiply
36,728,554,400,200x = 50,685,103,856,044 × 20,061,538,416,564 - Step 4: Simplify right side
36,728,554,400,200x = 1,016,821,158,155,562,842,528,415,744 - Step 5: Solve for x
x = 1,016,821,158,155,562,842,528,415,744/36,728,554,400,200 - Step 6: Final answer
x = 27,684,758,487,255.52
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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.