Finding the Fourth Proportional to 744,103,166.05, 1,026,854,220.25 and 409,568,536.09
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Solution
The fourth proportional to 744,103,166.05, 1,026,854,220.25 and 409,568,536.09 is: 565,200,094.50
Step by Step Solution
- Step 1: Write the proportion equation
744,103,166.05 : 1,026,854,220.25 = 409,568,536.09 : x - Step 2: Convert to fraction form
744,103,166.05/1,026,854,220.25 = 409,568,536.09/x - Step 3: Cross multiply
744,103,166.05x = 1,026,854,220.25 × 409,568,536.09 - Step 4: Simplify right side
744,103,166.05x = 420,567,179,765,630,912 - Step 5: Solve for x
x = 420,567,179,765,630,912/744,103,166.05 - Step 6: Final answer
x = 565,200,094.50
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1.5x scale
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.