Finding the Fourth Proportional to 396,122,305,875.10, 594,183,458,812.70 and 396,122,305,875.10
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Solution
The fourth proportional to 396,122,305,875.10, 594,183,458,812.70 and 396,122,305,875.10 is: 594,183,458,812.70
Step by Step Solution
- Step 1: Write the proportion equation
396,122,305,875.10 : 594,183,458,812.70 = 396,122,305,875.10 : x - Step 2: Convert to fraction form
396,122,305,875.10/594,183,458,812.70 = 396,122,305,875.10/x - Step 3: Cross multiply
396,122,305,875.10x = 594,183,458,812.70 × 396,122,305,875.10 - Step 4: Simplify right side
396,122,305,875.10x = 235,369,321,817,729,209,991,168 - Step 5: Solve for x
x = 235,369,321,817,729,209,991,168/396,122,305,875.10 - Step 6: Final answer
x = 594,183,458,812.70
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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.