Finding the Fourth Proportional to 809,909,207,623.20, 1,214,013,393,189.50 and 272,500,593,971.46
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Solution
The fourth proportional to 809,909,207,623.20, 1,214,013,393,189.50 and 272,500,593,971.46 is: 408,464,760,765.33
Step by Step Solution
- Step 1: Write the proportion equation
809,909,207,623.20 : 1,214,013,393,189.50 = 272,500,593,971.46 : x - Step 2: Convert to fraction form
809,909,207,623.20/1,214,013,393,189.50 = 272,500,593,971.46/x - Step 3: Cross multiply
809,909,207,623.20x = 1,214,013,393,189.50 × 272,500,593,971.46 - Step 4: Simplify right side
809,909,207,623.20x = 330,819,370,733,446,363,086,848 - Step 5: Solve for x
x = 330,819,370,733,446,363,086,848/809,909,207,623.20 - Step 6: Final answer
x = 408,464,760,765.33
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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.