Finding the Fourth Proportional to 31,488,754,186,418, 47,181,552,022,551 and 16,770,236,762,570
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Solution
The fourth proportional to 31,488,754,186,418, 47,181,552,022,551 and 16,770,236,762,570 is: 25,127,885,135,099.46
Step by Step Solution
- Step 1: Write the proportion equation
31,488,754,186,418 : 47,181,552,022,551 = 16,770,236,762,570 : x - Step 2: Convert to fraction form
31,488,754,186,418/47,181,552,022,551 = 16,770,236,762,570/x - Step 3: Cross multiply
31,488,754,186,418x = 47,181,552,022,551 × 16,770,236,762,570 - Step 4: Simplify right side
31,488,754,186,418x = 791,245,798,243,693,702,846,349,312 - Step 5: Solve for x
x = 791,245,798,243,693,702,846,349,312/31,488,754,186,418 - Step 6: Final answer
x = 25,127,885,135,099.46
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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.