Finding the Fourth Proportional to 31,839,238,103,934, 47,763,632,482,128 and 11,182,977,394,733
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Solution
The fourth proportional to 31,839,238,103,934, 47,763,632,482,128 and 11,182,977,394,733 is: 16,776,143,342,198.10
Step by Step Solution
- Step 1: Write the proportion equation
31,839,238,103,934 : 47,763,632,482,128 = 11,182,977,394,733 : x - Step 2: Convert to fraction form
31,839,238,103,934/47,763,632,482,128 = 11,182,977,394,733/x - Step 3: Cross multiply
31,839,238,103,934x = 47,763,632,482,128 × 11,182,977,394,733 - Step 4: Simplify right side
31,839,238,103,934x = 534,139,622,337,972,288,972,914,688 - Step 5: Solve for x
x = 534,139,622,337,972,288,972,914,688/31,839,238,103,934 - Step 6: Final answer
x = 16,776,143,342,198.10
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.