Finding the Fourth Proportional to 2,030,297,300.19, 3,043,296,532.62 and 682,924,812.17
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Solution
The fourth proportional to 2,030,297,300.19, 3,043,296,532.62 and 682,924,812.17 is: 1,023,664,225.29
Step by Step Solution
- Step 1: Write the proportion equation
2,030,297,300.19 : 3,043,296,532.62 = 682,924,812.17 : x - Step 2: Convert to fraction form
2,030,297,300.19/3,043,296,532.62 = 682,924,812.17/x - Step 3: Cross multiply
2,030,297,300.19x = 3,043,296,532.62 × 682,924,812.17 - Step 4: Simplify right side
2,030,297,300.19x = 2,078,342,712,917,957,888 - Step 5: Solve for x
x = 2,078,342,712,917,957,888/2,030,297,300.19 - Step 6: Final answer
x = 1,023,664,225.29
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1.5x scale
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.