Finding the Fourth Proportional to 11,084,301,708, 15,296,214,498.48 and 6,003,539,251.44
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Solution
The fourth proportional to 11,084,301,708, 15,296,214,498.48 and 6,003,539,251.44 is: 8,284,818,165.30
Step by Step Solution
- Step 1: Write the proportion equation
11,084,301,708 : 15,296,214,498.48 = 6,003,539,251.44 : x - Step 2: Convert to fraction form
11,084,301,708/15,296,214,498.48 = 6,003,539,251.44/x - Step 3: Cross multiply
11,084,301,708x = 15,296,214,498.48 × 6,003,539,251.44 - Step 4: Simplify right side
11,084,301,708x = 91,831,424,140,070,289,408 - Step 5: Solve for x
x = 91,831,424,140,070,289,408/11,084,301,708 - Step 6: Final answer
x = 8,284,818,165.30
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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.