Finding the Fourth Proportional to 202,236,063,076.14, 302,931,957,492.49 and 121,305,103,470.38
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Solution
The fourth proportional to 202,236,063,076.14, 302,931,957,492.49 and 121,305,103,470.38 is: 181,704,449,192.51
Step by Step Solution
- Step 1: Write the proportion equation
202,236,063,076.14 : 302,931,957,492.49 = 121,305,103,470.38 : x - Step 2: Convert to fraction form
202,236,063,076.14/302,931,957,492.49 = 121,305,103,470.38/x - Step 3: Cross multiply
202,236,063,076.14x = 302,931,957,492.49 × 121,305,103,470.38 - Step 4: Simplify right side
202,236,063,076.14x = 36,747,192,448,111,257,583,616 - Step 5: Solve for x
x = 36,747,192,448,111,257,583,616/202,236,063,076.14 - Step 6: Final answer
x = 181,704,449,192.51
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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.