Finding the Fourth Proportional to 18,424,380,772,150, 25,426,444,701,930 and 10,203,033,483,647
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Solution
The fourth proportional to 18,424,380,772,150, 25,426,444,701,930 and 10,203,033,483,647 is: 14,080,628,807,674.02
Step by Step Solution
- Step 1: Write the proportion equation
18,424,380,772,150 : 25,426,444,701,930 = 10,203,033,483,647 : x - Step 2: Convert to fraction form
18,424,380,772,150/25,426,444,701,930 = 10,203,033,483,647/x - Step 3: Cross multiply
18,424,380,772,150x = 25,426,444,701,930 × 10,203,033,483,647 - Step 4: Simplify right side
18,424,380,772,150x = 259,426,866,663,890,641,603,264,512 - Step 5: Solve for x
x = 259,426,866,663,890,641,603,264,512/18,424,380,772,150 - Step 6: Final answer
x = 14,080,628,807,674.02
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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.