Finding the Fourth Proportional to 727,646,976,403.20, 1,091,470,464,604.80 and 256,387,037,587.20
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Solution
The fourth proportional to 727,646,976,403.20, 1,091,470,464,604.80 and 256,387,037,587.20 is: 384,580,556,380.80
Step by Step Solution
- Step 1: Write the proportion equation
727,646,976,403.20 : 1,091,470,464,604.80 = 256,387,037,587.20 : x - Step 2: Convert to fraction form
727,646,976,403.20/1,091,470,464,604.80 = 256,387,037,587.20/x - Step 3: Cross multiply
727,646,976,403.20x = 1,091,470,464,604.80 × 256,387,037,587.20 - Step 4: Simplify right side
727,646,976,403.20x = 279,838,879,033,949,547,397,120 - Step 5: Solve for x
x = 279,838,879,033,949,547,397,120/727,646,976,403.20 - Step 6: Final answer
x = 384,580,556,380.80
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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.