Finding the Fourth Proportional to 31,298,115,176,420, 46,968,617,573,560 and 10,923,471,891,367
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Solution
The fourth proportional to 31,298,115,176,420, 46,968,617,573,560 and 10,923,471,891,367 is: 16,392,692,369,784.89
Step by Step Solution
- Step 1: Write the proportion equation
31,298,115,176,420 : 46,968,617,573,560 = 10,923,471,891,367 : x - Step 2: Convert to fraction form
31,298,115,176,420/46,968,617,573,560 = 10,923,471,891,367/x - Step 3: Cross multiply
31,298,115,176,420x = 46,968,617,573,560 × 10,923,471,891,367 - Step 4: Simplify right side
31,298,115,176,420x = 513,060,373,841,148,786,201,591,808 - Step 5: Solve for x
x = 513,060,373,841,148,786,201,591,808/31,298,115,176,420 - Step 6: Final answer
x = 16,392,692,369,784.89
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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.