Finding the Fourth Proportional to 2,030,297,298.99, 3,043,296,530.81 and 682,924,810.95
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Solution
The fourth proportional to 2,030,297,298.99, 3,043,296,530.81 and 682,924,810.95 is: 1,023,664,223.47
Step by Step Solution
- Step 1: Write the proportion equation
2,030,297,298.99 : 3,043,296,530.81 = 682,924,810.95 : x - Step 2: Convert to fraction form
2,030,297,298.99/3,043,296,530.81 = 682,924,810.95/x - Step 3: Cross multiply
2,030,297,298.99x = 3,043,296,530.81 × 682,924,810.95 - Step 4: Simplify right side
2,030,297,298.99x = 2,078,342,707,981,329,920 - Step 5: Solve for x
x = 2,078,342,707,981,329,920/2,030,297,298.99 - Step 6: Final answer
x = 1,023,664,223.47
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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.