Finding the Fourth Proportional to 6,378,165,168.71, 8,801,945,587.64 and 3,702,565,224.23
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Solution
The fourth proportional to 6,378,165,168.71, 8,801,945,587.64 and 3,702,565,224.23 is: 5,109,585,088.55
Step by Step Solution
- Step 1: Write the proportion equation
6,378,165,168.71 : 8,801,945,587.64 = 3,702,565,224.23 : x - Step 2: Convert to fraction form
6,378,165,168.71/8,801,945,587.64 = 3,702,565,224.23/x - Step 3: Cross multiply
6,378,165,168.71x = 8,801,945,587.64 × 3,702,565,224.23 - Step 4: Simplify right side
6,378,165,168.71x = 32,589,777,638,325,800,960 - Step 5: Solve for x
x = 32,589,777,638,325,800,960/6,378,165,168.71 - Step 6: Final answer
x = 5,109,585,088.55
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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.