Finding the Fourth Proportional to 32,401,274,899,588, 44,713,792,453,640 and 17,586,143,187,179
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Solution
The fourth proportional to 32,401,274,899,588, 44,713,792,453,640 and 17,586,143,187,179 is: 24,268,895,559,461.94
Step by Step Solution
- Step 1: Write the proportion equation
32,401,274,899,588 : 44,713,792,453,640 = 17,586,143,187,179 : x - Step 2: Convert to fraction form
32,401,274,899,588/44,713,792,453,640 = 17,586,143,187,179/x - Step 3: Cross multiply
32,401,274,899,588x = 44,713,792,453,640 × 17,586,143,187,179 - Step 4: Simplify right side
32,401,274,899,588x = 786,343,156,531,516,910,537,277,440 - Step 5: Solve for x
x = 786,343,156,531,516,910,537,277,440/32,401,274,899,588 - Step 6: Final answer
x = 24,268,895,559,461.94
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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.