Finding the Fourth Proportional to 14,854,378,942,459, 22,291,746,320,994 and 5,184,382,227,043
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Solution
The fourth proportional to 14,854,378,942,459, 22,291,746,320,994 and 5,184,382,227,043 is: 7,780,125,569,974.26
Step by Step Solution
- Step 1: Write the proportion equation
14,854,378,942,459 : 22,291,746,320,994 = 5,184,382,227,043 : x - Step 2: Convert to fraction form
14,854,378,942,459/22,291,746,320,994 = 5,184,382,227,043/x - Step 3: Cross multiply
14,854,378,942,459x = 22,291,746,320,994 × 5,184,382,227,043 - Step 4: Simplify right side
14,854,378,942,459x = 115,568,933,436,312,471,897,899,008 - Step 5: Solve for x
x = 115,568,933,436,312,471,897,899,008/14,854,378,942,459 - Step 6: Final answer
x = 7,780,125,569,974.26
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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.