Finding the Fourth Proportional to 37,351,498,952,216, 51,546,688,835,154 and 20,684,472,339,560
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Solution
The fourth proportional to 37,351,498,952,216, 51,546,688,835,154 and 20,684,472,339,560 is: 28,545,469,106,090.38
Step by Step Solution
- Step 1: Write the proportion equation
37,351,498,952,216 : 51,546,688,835,154 = 20,684,472,339,560 : x - Step 2: Convert to fraction form
37,351,498,952,216/51,546,688,835,154 = 20,684,472,339,560/x - Step 3: Cross multiply
37,351,498,952,216x = 51,546,688,835,154 × 20,684,472,339,560 - Step 4: Simplify right side
37,351,498,952,216x = 1,066,216,059,406,649,170,753,224,704 - Step 5: Solve for x
x = 1,066,216,059,406,649,170,753,224,704/37,351,498,952,216 - Step 6: Final answer
x = 28,545,469,106,090.38
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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.