Finding the Fourth Proportional to 5,133,629,743,285, 7,084,578,944,682.80 and 2,821,457,774,474.60
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Solution
The fourth proportional to 5,133,629,743,285, 7,084,578,944,682.80 and 2,821,457,774,474.60 is: 3,893,705,105,729.64
Step by Step Solution
- Step 1: Write the proportion equation
5,133,629,743,285 : 7,084,578,944,682.80 = 2,821,457,774,474.60 : x - Step 2: Convert to fraction form
5,133,629,743,285/7,084,578,944,682.80 = 2,821,457,774,474.60/x - Step 3: Cross multiply
5,133,629,743,285x = 7,084,578,944,682.80 × 2,821,457,774,474.60 - Step 4: Simplify right side
5,133,629,743,285x = 19,988,840,342,354,345,441,886,208 - Step 5: Solve for x
x = 19,988,840,342,354,345,441,886,208/5,133,629,743,285 - Step 6: Final answer
x = 3,893,705,105,729.64
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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.