Finding the Fourth Proportional to 35,977,588,568,560, 49,649,072,224,608 and 20,579,948,653,744
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Solution
The fourth proportional to 35,977,588,568,560, 49,649,072,224,608 and 20,579,948,653,744 is: 28,400,329,142,163.98
Step by Step Solution
- Step 1: Write the proportion equation
35,977,588,568,560 : 49,649,072,224,608 = 20,579,948,653,744 : x - Step 2: Convert to fraction form
35,977,588,568,560/49,649,072,224,608 = 20,579,948,653,744/x - Step 3: Cross multiply
35,977,588,568,560x = 49,649,072,224,608 × 20,579,948,653,744 - Step 4: Simplify right side
35,977,588,568,560x = 1,021,775,357,088,460,071,963,197,440 - Step 5: Solve for x
x = 1,021,775,357,088,460,071,963,197,440/35,977,588,568,560 - Step 6: Final answer
x = 28,400,329,142,163.98
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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.