Finding the Fourth Proportional to 2,775,996,163.62, 4,163,840,974.32 and 2,029,776,631.02
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Solution
The fourth proportional to 2,775,996,163.62, 4,163,840,974.32 and 2,029,776,631.02 is: 3,044,552,876.45
Step by Step Solution
- Step 1: Write the proportion equation
2,775,996,163.62 : 4,163,840,974.32 = 2,029,776,631.02 : x - Step 2: Convert to fraction form
2,775,996,163.62/4,163,840,974.32 = 2,029,776,631.02/x - Step 3: Cross multiply
2,775,996,163.62x = 4,163,840,974.32 × 2,029,776,631.02 - Step 4: Simplify right side
2,775,996,163.62x = 8,451,667,104,958,283,776 - Step 5: Solve for x
x = 8,451,667,104,958,283,776/2,775,996,163.62 - Step 6: Final answer
x = 3,044,552,876.45
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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.