Finding the Fourth Proportional to 490,531,493,069.07, 676,905,217,397.34 and 273,740,672,938.11
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Solution
The fourth proportional to 490,531,493,069.07, 676,905,217,397.34 and 273,740,672,938.11 is: 377,746,367,651.82
Step by Step Solution
- Step 1: Write the proportion equation
490,531,493,069.07 : 676,905,217,397.34 = 273,740,672,938.11 : x - Step 2: Convert to fraction form
490,531,493,069.07/676,905,217,397.34 = 273,740,672,938.11/x - Step 3: Cross multiply
490,531,493,069.07x = 676,905,217,397.34 × 273,740,672,938.11 - Step 4: Simplify right side
490,531,493,069.07x = 185,296,489,725,665,487,093,760 - Step 5: Solve for x
x = 185,296,489,725,665,487,093,760/490,531,493,069.07 - Step 6: Final answer
x = 377,746,367,651.82
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.