Finding the Fourth Proportional to 9,024,246,171,960.40, 13,537,149,007,760 and 2,489,628,146,341.20
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Solution
The fourth proportional to 9,024,246,171,960.40, 13,537,149,007,760 and 2,489,628,146,341.20 is: 3,734,657,338,543.41
Step by Step Solution
- Step 1: Write the proportion equation
9,024,246,171,960.40 : 13,537,149,007,760 = 2,489,628,146,341.20 : x - Step 2: Convert to fraction form
9,024,246,171,960.40/13,537,149,007,760 = 2,489,628,146,341.20/x - Step 3: Cross multiply
9,024,246,171,960.40x = 13,537,149,007,760 × 2,489,628,146,341.20 - Step 4: Simplify right side
9,024,246,171,960.40x = 33,702,467,190,934,147,291,938,816 - Step 5: Solve for x
x = 33,702,467,190,934,147,291,938,816/9,024,246,171,960.40 - Step 6: Final answer
x = 3,734,657,338,543.41
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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.