Finding the Fourth Proportional to 311,568,772,843.28, 467,198,403,478.68 and 99,305,285,304.08
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Solution
The fourth proportional to 311,568,772,843.28, 467,198,403,478.68 and 99,305,285,304.08 is: 148,908,603,155.81
Step by Step Solution
- Step 1: Write the proportion equation
311,568,772,843.28 : 467,198,403,478.68 = 99,305,285,304.08 : x - Step 2: Convert to fraction form
311,568,772,843.28/467,198,403,478.68 = 99,305,285,304.08/x - Step 3: Cross multiply
311,568,772,843.28x = 467,198,403,478.68 × 99,305,285,304.08 - Step 4: Simplify right side
311,568,772,843.28x = 46,395,270,751,060,999,798,784 - Step 5: Solve for x
x = 46,395,270,751,060,999,798,784/311,568,772,843.28 - Step 6: Final answer
x = 148,908,603,155.81
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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.