Finding the Fourth Proportional to 48,819,820,619,697, 67,326,098,323,218 and 35,629,919,606,676
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Solution
The fourth proportional to 48,819,820,619,697, 67,326,098,323,218 and 35,629,919,606,676 is: 49,136,261,465,892.90
Step by Step Solution
- Step 1: Write the proportion equation
48,819,820,619,697 : 67,326,098,323,218 = 35,629,919,606,676 : x - Step 2: Convert to fraction form
48,819,820,619,697/67,326,098,323,218 = 35,629,919,606,676/x - Step 3: Cross multiply
48,819,820,619,697x = 67,326,098,323,218 × 35,629,919,606,676 - Step 4: Simplify right side
48,819,820,619,697x = 2,398,823,470,687,421,137,302,847,488 - Step 5: Solve for x
x = 2,398,823,470,687,421,137,302,847,488/48,819,820,619,697 - Step 6: Final answer
x = 49,136,261,465,892.90
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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.