Finding the Fourth Proportional to 297,693,667,246.01, 446,540,476,242 and 82,562,206,822.86
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Solution
The fourth proportional to 297,693,667,246.01, 446,540,476,242 and 82,562,206,822.86 is: 123,843,303,404.25
Step by Step Solution
- Step 1: Write the proportion equation
297,693,667,246.01 : 446,540,476,242 = 82,562,206,822.86 : x - Step 2: Convert to fraction form
297,693,667,246.01/446,540,476,242 = 82,562,206,822.86/x - Step 3: Cross multiply
297,693,667,246.01x = 446,540,476,242 × 82,562,206,822.86 - Step 4: Simplify right side
297,693,667,246.01x = 36,867,367,154,270,406,180,864 - Step 5: Solve for x
x = 36,867,367,154,270,406,180,864/297,693,667,246.01 - Step 6: Final answer
x = 123,843,303,404.25
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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.