Finding the Fourth Proportional to 2,084,448,176,561, 3,124,881,539,186.80 and 724,428,193,356.48
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Solution
The fourth proportional to 2,084,448,176,561, 3,124,881,539,186.80 and 724,428,193,356.48 is: 1,086,019,942,036.14
Step by Step Solution
- Step 1: Write the proportion equation
2,084,448,176,561 : 3,124,881,539,186.80 = 724,428,193,356.48 : x - Step 2: Convert to fraction form
2,084,448,176,561/3,124,881,539,186.80 = 724,428,193,356.48/x - Step 3: Cross multiply
2,084,448,176,561x = 3,124,881,539,186.80 × 724,428,193,356.48 - Step 4: Simplify right side
2,084,448,176,561x = 2,263,752,287,886,109,858,332,672 - Step 5: Solve for x
x = 2,263,752,287,886,109,858,332,672/2,084,448,176,561 - Step 6: Final answer
x = 1,086,019,942,036.14
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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.