Finding the Fourth Proportional to 31,488,754,186,348, 47,181,552,022,440 and 16,770,236,762,500
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Solution
The fourth proportional to 31,488,754,186,348, 47,181,552,022,440 and 16,770,236,762,500 is: 25,127,885,134,991.32
Step by Step Solution
- Step 1: Write the proportion equation
31,488,754,186,348 : 47,181,552,022,440 = 16,770,236,762,500 : x - Step 2: Convert to fraction form
31,488,754,186,348/47,181,552,022,440 = 16,770,236,762,500/x - Step 3: Cross multiply
31,488,754,186,348x = 47,181,552,022,440 × 16,770,236,762,500 - Step 4: Simplify right side
31,488,754,186,348x = 791,245,798,238,529,571,608,592,384 - Step 5: Solve for x
x = 791,245,798,238,529,571,608,592,384/31,488,754,186,348 - Step 6: Final answer
x = 25,127,885,134,991.32
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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.