Finding the Fourth Proportional to 35,837,394,878,014, 49,455,078,607,324 and 20,016,971,588,495
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Solution
The fourth proportional to 35,837,394,878,014, 49,455,078,607,324 and 20,016,971,588,495 is: 27,623,126,813,743.75
Step by Step Solution
- Step 1: Write the proportion equation
35,837,394,878,014 : 49,455,078,607,324 = 20,016,971,588,495 : x - Step 2: Convert to fraction form
35,837,394,878,014/49,455,078,607,324 = 20,016,971,588,495/x - Step 3: Cross multiply
35,837,394,878,014x = 49,455,078,607,324 × 20,016,971,588,495 - Step 4: Simplify right side
35,837,394,878,014x = 989,940,903,389,591,433,038,004,224 - Step 5: Solve for x
x = 989,940,903,389,591,433,038,004,224/35,837,394,878,014 - Step 6: Final answer
x = 27,623,126,813,743.75
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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.