Finding the Fourth Proportional to 31,839,238,103,964, 47,763,632,482,176 and 11,182,977,394,763
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Solution
The fourth proportional to 31,839,238,103,964, 47,763,632,482,176 and 11,182,977,394,763 is: 16,776,143,342,244.15
Step by Step Solution
- Step 1: Write the proportion equation
31,839,238,103,964 : 47,763,632,482,176 = 11,182,977,394,763 : x - Step 2: Convert to fraction form
31,839,238,103,964/47,763,632,482,176 = 11,182,977,394,763/x - Step 3: Cross multiply
31,839,238,103,964x = 47,763,632,482,176 × 11,182,977,394,763 - Step 4: Simplify right side
31,839,238,103,964x = 534,139,622,339,941,995,334,598,656 - Step 5: Solve for x
x = 534,139,622,339,941,995,334,598,656/31,839,238,103,964 - Step 6: Final answer
x = 16,776,143,342,244.15
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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.