Finding the Fourth Proportional to 413,753,413,404.68, 620,630,120,107.02 and 413,753,413,404.68
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Solution
The fourth proportional to 413,753,413,404.68, 620,630,120,107.02 and 413,753,413,404.68 is: 620,630,120,107.02
Step by Step Solution
- Step 1: Write the proportion equation
413,753,413,404.68 : 620,630,120,107.02 = 413,753,413,404.68 : x - Step 2: Convert to fraction form
413,753,413,404.68/620,630,120,107.02 = 413,753,413,404.68/x - Step 3: Cross multiply
413,753,413,404.68x = 620,630,120,107.02 × 413,753,413,404.68 - Step 4: Simplify right side
413,753,413,404.68x = 256,787,830,656,036,054,761,472 - Step 5: Solve for x
x = 256,787,830,656,036,054,761,472/413,753,413,404.68 - Step 6: Final answer
x = 620,630,120,107.02
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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.