Finding the Fourth Proportional to 192,709,893,659.92, 265,946,830,378.68 and 115,560,294,125.80
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Solution
The fourth proportional to 192,709,893,659.92, 265,946,830,378.68 and 115,560,294,125.80 is: 159,477,509,725.68
Step by Step Solution
- Step 1: Write the proportion equation
192,709,893,659.92 : 265,946,830,378.68 = 115,560,294,125.80 : x - Step 2: Convert to fraction form
192,709,893,659.92/265,946,830,378.68 = 115,560,294,125.80/x - Step 3: Cross multiply
192,709,893,659.92x = 265,946,830,378.68 × 115,560,294,125.80 - Step 4: Simplify right side
192,709,893,659.92x = 30,732,893,940,384,505,266,176 - Step 5: Solve for x
x = 30,732,893,940,384,505,266,176/192,709,893,659.92 - Step 6: Final answer
x = 159,477,509,725.68
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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.