Finding the Fourth Proportional to 196,236,090,252.36, 294,354,135,378.52 and 196,236,090,252.36
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Solution
The fourth proportional to 196,236,090,252.36, 294,354,135,378.52 and 196,236,090,252.36 is: 294,354,135,378.52
Step by Step Solution
- Step 1: Write the proportion equation
196,236,090,252.36 : 294,354,135,378.52 = 196,236,090,252.36 : x - Step 2: Convert to fraction form
196,236,090,252.36/294,354,135,378.52 = 196,236,090,252.36/x - Step 3: Cross multiply
196,236,090,252.36x = 294,354,135,378.52 × 196,236,090,252.36 - Step 4: Simplify right side
196,236,090,252.36x = 57,762,904,676,294,639,747,072 - Step 5: Solve for x
x = 57,762,904,676,294,639,747,072/196,236,090,252.36 - Step 6: Final answer
x = 294,354,135,378.52
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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.