Finding the Fourth Proportional to 906,271,591,580.24, 1,250,659,876,230.70 and 515,638,145,881.80
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Solution
The fourth proportional to 906,271,591,580.24, 1,250,659,876,230.70 and 515,638,145,881.80 is: 711,583,531,581.18
Step by Step Solution
- Step 1: Write the proportion equation
906,271,591,580.24 : 1,250,659,876,230.70 = 515,638,145,881.80 : x - Step 2: Convert to fraction form
906,271,591,580.24/1,250,659,876,230.70 = 515,638,145,881.80/x - Step 3: Cross multiply
906,271,591,580.24x = 1,250,659,876,230.70 × 515,638,145,881.80 - Step 4: Simplify right side
906,271,591,580.24x = 644,887,939,708,359,526,055,936 - Step 5: Solve for x
x = 644,887,939,708,359,526,055,936/906,271,591,580.24 - Step 6: Final answer
x = 711,583,531,581.18
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.