Finding the Fourth Proportional to 2,350,009,168,992.80, 3,526,623,930,230.80 and 820,185,469,874.90
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Solution
The fourth proportional to 2,350,009,168,992.80, 3,526,623,930,230.80 and 820,185,469,874.90 is: 1,230,840,178,605.82
Step by Step Solution
- Step 1: Write the proportion equation
2,350,009,168,992.80 : 3,526,623,930,230.80 = 820,185,469,874.90 : x - Step 2: Convert to fraction form
2,350,009,168,992.80/3,526,623,930,230.80 = 820,185,469,874.90/x - Step 3: Cross multiply
2,350,009,168,992.80x = 3,526,623,930,230.80 × 820,185,469,874.90 - Step 4: Simplify right side
2,350,009,168,992.80x = 2,892,485,705,288,415,130,419,200 - Step 5: Solve for x
x = 2,892,485,705,288,415,130,419,200/2,350,009,168,992.80 - Step 6: Final answer
x = 1,230,840,178,605.82
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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.