Finding the Fourth Proportional to 170,201,104,368.30, 255,301,656,552.45 and 100,544,069,616.30
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Solution
The fourth proportional to 170,201,104,368.30, 255,301,656,552.45 and 100,544,069,616.30 is: 150,816,104,424.45
Step by Step Solution
- Step 1: Write the proportion equation
170,201,104,368.30 : 255,301,656,552.45 = 100,544,069,616.30 : x - Step 2: Convert to fraction form
170,201,104,368.30/255,301,656,552.45 = 100,544,069,616.30/x - Step 3: Cross multiply
170,201,104,368.30x = 255,301,656,552.45 × 100,544,069,616.30 - Step 4: Simplify right side
170,201,104,368.30x = 25,669,067,529,566,247,976,960 - Step 5: Solve for x
x = 25,669,067,529,566,247,976,960/170,201,104,368.30 - Step 6: Final answer
x = 150,816,104,424.45
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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.