Finding the Fourth Proportional to 396,122,305,853.10, 594,183,458,779.70 and 396,122,305,853.10
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Solution
The fourth proportional to 396,122,305,853.10, 594,183,458,779.70 and 396,122,305,853.10 is: 594,183,458,779.70
Step by Step Solution
- Step 1: Write the proportion equation
396,122,305,853.10 : 594,183,458,779.70 = 396,122,305,853.10 : x - Step 2: Convert to fraction form
396,122,305,853.10/594,183,458,779.70 = 396,122,305,853.10/x - Step 3: Cross multiply
396,122,305,853.10x = 594,183,458,779.70 × 396,122,305,853.10 - Step 4: Simplify right side
396,122,305,853.10x = 235,369,321,791,585,140,080,640 - Step 5: Solve for x
x = 235,369,321,791,585,140,080,640/396,122,305,853.10 - Step 6: Final answer
x = 594,183,458,779.70
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1.5x scale
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.