Finding the Fourth Proportional to 285,667,575,358.43, 394,221,318,342.30 and 157,209,023,975.42
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Solution
The fourth proportional to 285,667,575,358.43, 394,221,318,342.30 and 157,209,023,975.42 is: 216,948,488,497.99
Step by Step Solution
- Step 1: Write the proportion equation
285,667,575,358.43 : 394,221,318,342.30 = 157,209,023,975.42 : x - Step 2: Convert to fraction form
285,667,575,358.43/394,221,318,342.30 = 157,209,023,975.42/x - Step 3: Cross multiply
285,667,575,358.43x = 394,221,318,342.30 × 157,209,023,975.42 - Step 4: Simplify right side
285,667,575,358.43x = 61,975,148,686,896,321,789,952 - Step 5: Solve for x
x = 61,975,148,686,896,321,789,952/285,667,575,358.43 - Step 6: Final answer
x = 216,948,488,497.99
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.