Finding the Fourth Proportional to 196,889,481,696.99, 271,703,942,966.16 and 111,248,608,707.12
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Solution
The fourth proportional to 196,889,481,696.99, 271,703,942,966.16 and 111,248,608,707.12 is: 153,521,078,803.70
Step by Step Solution
- Step 1: Write the proportion equation
196,889,481,696.99 : 271,703,942,966.16 = 111,248,608,707.12 : x - Step 2: Convert to fraction form
196,889,481,696.99/271,703,942,966.16 = 111,248,608,707.12/x - Step 3: Cross multiply
196,889,481,696.99x = 271,703,942,966.16 × 111,248,608,707.12 - Step 4: Simplify right side
196,889,481,696.99x = 30,226,685,635,223,982,440,448 - Step 5: Solve for x
x = 30,226,685,635,223,982,440,448/196,889,481,696.99 - Step 6: Final answer
x = 153,521,078,803.70
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.