Finding the Fourth Proportional to 97,785,145,125.11, 146,677,717,687.67 and 97,785,145,125.11
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Solution
The fourth proportional to 97,785,145,125.11, 146,677,717,687.67 and 97,785,145,125.11 is: 146,677,717,687.67
Step by Step Solution
- Step 1: Write the proportion equation
97,785,145,125.11 : 146,677,717,687.67 = 97,785,145,125.11 : x - Step 2: Convert to fraction form
97,785,145,125.11/146,677,717,687.67 = 97,785,145,125.11/x - Step 3: Cross multiply
97,785,145,125.11x = 146,677,717,687.67 × 97,785,145,125.11 - Step 4: Simplify right side
97,785,145,125.11x = 14,342,901,910,708,726,792,192 - Step 5: Solve for x
x = 14,342,901,910,708,726,792,192/97,785,145,125.11 - Step 6: Final answer
x = 146,677,717,687.67
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1.5x scale
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.