Finding the Fourth Proportional to 14,854,378,942,458, 22,291,746,320,992 and 5,184,382,227,042
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Solution
The fourth proportional to 14,854,378,942,458, 22,291,746,320,992 and 5,184,382,227,042 is: 7,780,125,569,972.59
Step by Step Solution
- Step 1: Write the proportion equation
14,854,378,942,458 : 22,291,746,320,992 = 5,184,382,227,042 : x - Step 2: Convert to fraction form
14,854,378,942,458/22,291,746,320,992 = 5,184,382,227,042/x - Step 3: Cross multiply
14,854,378,942,458x = 22,291,746,320,992 × 5,184,382,227,042 - Step 4: Simplify right side
14,854,378,942,458x = 115,568,933,436,279,812,966,580,224 - Step 5: Solve for x
x = 115,568,933,436,279,812,966,580,224/14,854,378,942,458 - Step 6: Final answer
x = 7,780,125,569,972.59
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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.