Finding the Fourth Proportional to 38,671,626,640,968, 53,390,933,675,865 and 24,616,756,115,790
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Solution
The fourth proportional to 38,671,626,640,968, 53,390,933,675,865 and 24,616,756,115,790 is: 33,986,457,443,213.18
Step by Step Solution
- Step 1: Write the proportion equation
38,671,626,640,968 : 53,390,933,675,865 = 24,616,756,115,790 : x - Step 2: Convert to fraction form
38,671,626,640,968/53,390,933,675,865 = 24,616,756,115,790/x - Step 3: Cross multiply
38,671,626,640,968x = 53,390,933,675,865 × 24,616,756,115,790 - Step 4: Simplify right side
38,671,626,640,968x = 1,314,311,593,093,087,967,622,201,344 - Step 5: Solve for x
x = 1,314,311,593,093,087,967,622,201,344/38,671,626,640,968 - Step 6: Final answer
x = 33,986,457,443,213.18
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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.