Finding the Fourth Proportional to 8,200,521,810.92, 12,305,260,803 and 3,478,109,178.80
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Solution
The fourth proportional to 8,200,521,810.92, 12,305,260,803 and 3,478,109,178.80 is: 5,219,063,071.02
Step by Step Solution
- Step 1: Write the proportion equation
8,200,521,810.92 : 12,305,260,803 = 3,478,109,178.80 : x - Step 2: Convert to fraction form
8,200,521,810.92/12,305,260,803 = 3,478,109,178.80/x - Step 3: Cross multiply
8,200,521,810.92x = 12,305,260,803 × 3,478,109,178.80 - Step 4: Simplify right side
8,200,521,810.92x = 42,799,040,546,442,158,080 - Step 5: Solve for x
x = 42,799,040,546,442,158,080/8,200,521,810.92 - Step 6: Final answer
x = 5,219,063,071.02
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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.