Finding the Fourth Proportional to 31,839,238,103,974, 47,763,632,482,186 and 11,182,977,394,773
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Solution
The fourth proportional to 31,839,238,103,974, 47,763,632,482,186 and 11,182,977,394,773 is: 16,776,143,342,257.40
Step by Step Solution
- Step 1: Write the proportion equation
31,839,238,103,974 : 47,763,632,482,186 = 11,182,977,394,773 : x - Step 2: Convert to fraction form
31,839,238,103,974/47,763,632,482,186 = 11,182,977,394,773/x - Step 3: Cross multiply
31,839,238,103,974x = 47,763,632,482,186 × 11,182,977,394,773 - Step 4: Simplify right side
31,839,238,103,974x = 534,139,622,340,531,402,286,563,328 - Step 5: Solve for x
x = 534,139,622,340,531,402,286,563,328/31,839,238,103,974 - Step 6: Final answer
x = 16,776,143,342,257.40
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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.