Finding the Fourth Proportional to 10,700,785,011,591, 16,044,608,521,060 and 4,158,528,086,000
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Solution
The fourth proportional to 10,700,785,011,591, 16,044,608,521,060 and 4,158,528,086,000 is: 6,235,239,292,391.19
Step by Step Solution
- Step 1: Write the proportion equation
10,700,785,011,591 : 16,044,608,521,060 = 4,158,528,086,000 : x - Step 2: Convert to fraction form
10,700,785,011,591/16,044,608,521,060 = 4,158,528,086,000/x - Step 3: Cross multiply
10,700,785,011,591x = 16,044,608,521,060 × 4,158,528,086,000 - Step 4: Simplify right side
10,700,785,011,591x = 66,721,955,163,702,932,080,164,864 - Step 5: Solve for x
x = 66,721,955,163,702,932,080,164,864/10,700,785,011,591 - Step 6: Final answer
x = 6,235,239,292,391.19
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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.