Finding the Fourth Proportional to 355,135,448,363.10, 532,703,172,544.65 and 355,135,448,363.10
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Solution
The fourth proportional to 355,135,448,363.10, 532,703,172,544.65 and 355,135,448,363.10 is: 532,703,172,544.65
Step by Step Solution
- Step 1: Write the proportion equation
355,135,448,363.10 : 532,703,172,544.65 = 355,135,448,363.10 : x - Step 2: Convert to fraction form
355,135,448,363.10/532,703,172,544.65 = 355,135,448,363.10/x - Step 3: Cross multiply
355,135,448,363.10x = 532,703,172,544.65 × 355,135,448,363.10 - Step 4: Simplify right side
355,135,448,363.10x = 189,181,780,026,090,103,767,040 - Step 5: Solve for x
x = 189,181,780,026,090,103,767,040/355,135,448,363.10 - Step 6: Final answer
x = 532,703,172,544.65
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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.