Finding the Fourth Proportional to 35,977,588,566,206, 49,649,072,221,368 and 20,579,948,651,391
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Solution
The fourth proportional to 35,977,588,566,206, 49,649,072,221,368 and 20,579,948,651,391 is: 28,400,329,138,921.71
Step by Step Solution
- Step 1: Write the proportion equation
35,977,588,566,206 : 49,649,072,221,368 = 20,579,948,651,391 : x - Step 2: Convert to fraction form
35,977,588,566,206/49,649,072,221,368 = 20,579,948,651,391/x - Step 3: Cross multiply
35,977,588,566,206x = 49,649,072,221,368 × 20,579,948,651,391 - Step 4: Simplify right side
35,977,588,566,206x = 1,021,775,356,904,956,666,528,661,504 - Step 5: Solve for x
x = 1,021,775,356,904,956,666,528,661,504/35,977,588,566,206 - Step 6: Final answer
x = 28,400,329,138,921.71
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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.