Finding the Fourth Proportional to 2,413,096,049,698.80, 3,620,015,998,230.50 and 822,750,439,173.32
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Solution
The fourth proportional to 2,413,096,049,698.80, 3,620,015,998,230.50 and 822,750,439,173.32 is: 1,234,252,466,962.66
Step by Step Solution
- Step 1: Write the proportion equation
2,413,096,049,698.80 : 3,620,015,998,230.50 = 822,750,439,173.32 : x - Step 2: Convert to fraction form
2,413,096,049,698.80/3,620,015,998,230.50 = 822,750,439,173.32/x - Step 3: Cross multiply
2,413,096,049,698.80x = 3,620,015,998,230.50 × 822,750,439,173.32 - Step 4: Simplify right side
2,413,096,049,698.80x = 2,978,369,752,358,588,170,371,072 - Step 5: Solve for x
x = 2,978,369,752,358,588,170,371,072/2,413,096,049,698.80 - Step 6: Final answer
x = 1,234,252,466,962.66
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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.