Finding the Fourth Proportional to 413,753,413,449.23, 620,630,120,173.84 and 413,753,413,449.23
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Solution
The fourth proportional to 413,753,413,449.23, 620,630,120,173.84 and 413,753,413,449.23 is: 620,630,120,173.84
Step by Step Solution
- Step 1: Write the proportion equation
413,753,413,449.23 : 620,630,120,173.84 = 413,753,413,449.23 : x - Step 2: Convert to fraction form
413,753,413,449.23/620,630,120,173.84 = 413,753,413,449.23/x - Step 3: Cross multiply
413,753,413,449.23x = 620,630,120,173.84 × 413,753,413,449.23 - Step 4: Simplify right side
413,753,413,449.23x = 256,787,830,711,332,080,975,872 - Step 5: Solve for x
x = 256,787,830,711,332,080,975,872/413,753,413,449.23 - Step 6: Final answer
x = 620,630,120,173.84
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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.