Finding the Fourth Proportional to 262,132,200,962.41, 393,216,058,222.96 and 92,131,121,837.99
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Solution
The fourth proportional to 262,132,200,962.41, 393,216,058,222.96 and 92,131,121,837.99 is: 138,202,923,699.52
Step by Step Solution
- Step 1: Write the proportion equation
262,132,200,962.41 : 393,216,058,222.96 = 92,131,121,837.99 : x - Step 2: Convert to fraction form
262,132,200,962.41/393,216,058,222.96 = 92,131,121,837.99/x - Step 3: Cross multiply
262,132,200,962.41x = 393,216,058,222.96 × 92,131,121,837.99 - Step 4: Simplify right side
262,132,200,962.41x = 36,227,436,568,794,875,559,936 - Step 5: Solve for x
x = 36,227,436,568,794,875,559,936/262,132,200,962.41 - Step 6: Final answer
x = 138,202,923,699.52
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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.