Finding the Fourth Proportional to 830,305,544,816.65, 1,245,332,477,004.40 and 225,977,843,019.62
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Solution
The fourth proportional to 830,305,544,816.65, 1,245,332,477,004.40 and 225,977,843,019.62 is: 338,932,515,569.17
Step by Step Solution
- Step 1: Write the proportion equation
830,305,544,816.65 : 1,245,332,477,004.40 = 225,977,843,019.62 : x - Step 2: Convert to fraction form
830,305,544,816.65/1,245,332,477,004.40 = 225,977,843,019.62/x - Step 3: Cross multiply
830,305,544,816.65x = 1,245,332,477,004.40 × 225,977,843,019.62 - Step 4: Simplify right side
830,305,544,816.65x = 281,417,546,995,734,801,285,120 - Step 5: Solve for x
x = 281,417,546,995,734,801,285,120/830,305,544,816.65 - Step 6: Final answer
x = 338,932,515,569.17
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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.