Finding the Fourth Proportional to 84,642,244,532.14, 116,806,316,520.39 and 46,580,451,529.82
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Solution
The fourth proportional to 84,642,244,532.14, 116,806,316,520.39 and 46,580,451,529.82 is: 64,281,033,603.60
Step by Step Solution
- Step 1: Write the proportion equation
84,642,244,532.14 : 116,806,316,520.39 = 46,580,451,529.82 : x - Step 2: Convert to fraction form
84,642,244,532.14/116,806,316,520.39 = 46,580,451,529.82/x - Step 3: Cross multiply
84,642,244,532.14x = 116,806,316,520.39 × 46,580,451,529.82 - Step 4: Simplify right side
84,642,244,532.14x = 5,440,890,965,054,839,586,816 - Step 5: Solve for x
x = 5,440,890,965,054,839,586,816/84,642,244,532.14 - Step 6: Final answer
x = 64,281,033,603.60
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.