Finding the Fourth Proportional to 2,413,096,049,700.80, 3,620,015,998,233.70 and 822,750,439,175.30
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Solution
The fourth proportional to 2,413,096,049,700.80, 3,620,015,998,233.70 and 822,750,439,175.30 is: 1,234,252,466,965.70
Step by Step Solution
- Step 1: Write the proportion equation
2,413,096,049,700.80 : 3,620,015,998,233.70 = 822,750,439,175.30 : x - Step 2: Convert to fraction form
2,413,096,049,700.80/3,620,015,998,233.70 = 822,750,439,175.30/x - Step 3: Cross multiply
2,413,096,049,700.80x = 3,620,015,998,233.70 × 822,750,439,175.30 - Step 4: Simplify right side
2,413,096,049,700.80x = 2,978,369,752,368,389,285,740,544 - Step 5: Solve for x
x = 2,978,369,752,368,389,285,740,544/2,413,096,049,700.80 - Step 6: Final answer
x = 1,234,252,466,965.70
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.