Finding the Fourth Proportional to 2,271,206,502, 3,408,010,045.47 and 1,611,484,080.66
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Solution
The fourth proportional to 2,271,206,502, 3,408,010,045.47 and 1,611,484,080.66 is: 2,418,077,761.83
Step by Step Solution
- Step 1: Write the proportion equation
2,271,206,502 : 3,408,010,045.47 = 1,611,484,080.66 : x - Step 2: Convert to fraction form
2,271,206,502/3,408,010,045.47 = 1,611,484,080.66/x - Step 3: Cross multiply
2,271,206,502x = 3,408,010,045.47 × 1,611,484,080.66 - Step 4: Simplify right side
2,271,206,502x = 5,491,953,935,004,267,520 - Step 5: Solve for x
x = 5,491,953,935,004,267,520/2,271,206,502 - Step 6: Final answer
x = 2,418,077,761.83
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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.