Finding the Fourth Proportional to 107,040,107,107.80, 160,630,896,291.30 and 50,396,169,187.62
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Solution
The fourth proportional to 107,040,107,107.80, 160,630,896,291.30 and 50,396,169,187.62 is: 75,627,557,230.51
Step by Step Solution
- Step 1: Write the proportion equation
107,040,107,107.80 : 160,630,896,291.30 = 50,396,169,187.62 : x - Step 2: Convert to fraction form
107,040,107,107.80/160,630,896,291.30 = 50,396,169,187.62/x - Step 3: Cross multiply
107,040,107,107.80x = 160,630,896,291.30 × 50,396,169,187.62 - Step 4: Simplify right side
107,040,107,107.80x = 8,095,181,826,255,396,798,464 - Step 5: Solve for x
x = 8,095,181,826,255,396,798,464/107,040,107,107.80 - Step 6: Final answer
x = 75,627,557,230.51
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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.