Finding the Fourth Proportional to 413,753,413,421.80, 620,630,120,132.70 and 413,753,413,421.80
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Solution
The fourth proportional to 413,753,413,421.80, 620,630,120,132.70 and 413,753,413,421.80 is: 620,630,120,132.70
Step by Step Solution
- Step 1: Write the proportion equation
413,753,413,421.80 : 620,630,120,132.70 = 413,753,413,421.80 : x - Step 2: Convert to fraction form
413,753,413,421.80/620,630,120,132.70 = 413,753,413,421.80/x - Step 3: Cross multiply
413,753,413,421.80x = 620,630,120,132.70 × 413,753,413,421.80 - Step 4: Simplify right side
413,753,413,421.80x = 256,787,830,677,286,378,536,960 - Step 5: Solve for x
x = 256,787,830,677,286,378,536,960/413,753,413,421.80 - Step 6: Final answer
x = 620,630,120,132.70
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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.