Finding the Fourth Proportional to 163,960,635,042.70, 245,940,952,564.05 and 97,786,452,028.30
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Solution
The fourth proportional to 163,960,635,042.70, 245,940,952,564.05 and 97,786,452,028.30 is: 146,679,678,042.45
Step by Step Solution
- Step 1: Write the proportion equation
163,960,635,042.70 : 245,940,952,564.05 = 97,786,452,028.30 : x - Step 2: Convert to fraction form
163,960,635,042.70/245,940,952,564.05 = 97,786,452,028.30/x - Step 3: Cross multiply
163,960,635,042.70x = 245,940,952,564.05 × 97,786,452,028.30 - Step 4: Simplify right side
163,960,635,042.70x = 24,049,693,159,698,880,004,096 - Step 5: Solve for x
x = 24,049,693,159,698,880,004,096/163,960,635,042.70 - Step 6: Final answer
x = 146,679,678,042.45
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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.