Finding the Fourth Proportional to 38,071,163,394,056, 57,117,949,287,624 and 12,284,021,735,267
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Solution
The fourth proportional to 38,071,163,394,056, 57,117,949,287,624 and 12,284,021,735,267 is: 18,429,647,743,115.66
Step by Step Solution
- Step 1: Write the proportion equation
38,071,163,394,056 : 57,117,949,287,624 = 12,284,021,735,267 : x - Step 2: Convert to fraction form
38,071,163,394,056/57,117,949,287,624 = 12,284,021,735,267/x - Step 3: Cross multiply
38,071,163,394,056x = 57,117,949,287,624 × 12,284,021,735,267 - Step 4: Simplify right side
38,071,163,394,056x = 701,638,130,523,051,503,871,066,112 - Step 5: Solve for x
x = 701,638,130,523,051,503,871,066,112/38,071,163,394,056 - Step 6: Final answer
x = 18,429,647,743,115.66
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.