Finding the Fourth Proportional to 727,646,976,273.70, 1,091,470,464,410.50 and 256,387,037,457.70
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Solution
The fourth proportional to 727,646,976,273.70, 1,091,470,464,410.50 and 256,387,037,457.70 is: 384,580,556,186.53
Step by Step Solution
- Step 1: Write the proportion equation
727,646,976,273.70 : 1,091,470,464,410.50 = 256,387,037,457.70 : x - Step 2: Convert to fraction form
727,646,976,273.70/1,091,470,464,410.50 = 256,387,037,457.70/x - Step 3: Cross multiply
727,646,976,273.70x = 1,091,470,464,410.50 × 256,387,037,457.70 - Step 4: Simplify right side
727,646,976,273.70x = 279,838,878,842,788,102,799,360 - Step 5: Solve for x
x = 279,838,878,842,788,102,799,360/727,646,976,273.70 - Step 6: Final answer
x = 384,580,556,186.53
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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.