Finding the Fourth Proportional to 521,520,992,163.70, 782,281,488,245.55 and 521,520,992,163.70
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Solution
The fourth proportional to 521,520,992,163.70, 782,281,488,245.55 and 521,520,992,163.70 is: 782,281,488,245.55
Step by Step Solution
- Step 1: Write the proportion equation
521,520,992,163.70 : 782,281,488,245.55 = 521,520,992,163.70 : x - Step 2: Convert to fraction form
521,520,992,163.70/782,281,488,245.55 = 521,520,992,163.70/x - Step 3: Cross multiply
521,520,992,163.70x = 782,281,488,245.55 × 521,520,992,163.70 - Step 4: Simplify right side
521,520,992,163.70x = 407,976,217,901,115,111,374,848 - Step 5: Solve for x
x = 407,976,217,901,115,111,374,848/521,520,992,163.70 - Step 6: Final answer
x = 782,281,488,245.55
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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.