Finding the Fourth Proportional to 304,367,478,768.68, 420,028,102,166.04 and 169,036,659,204.87
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Solution
The fourth proportional to 304,367,478,768.68, 420,028,102,166.04 and 169,036,659,204.87 is: 233,271,134,779.38
Step by Step Solution
- Step 1: Write the proportion equation
304,367,478,768.68 : 420,028,102,166.04 = 169,036,659,204.87 : x - Step 2: Convert to fraction form
304,367,478,768.68/420,028,102,166.04 = 169,036,659,204.87/x - Step 3: Cross multiply
304,367,478,768.68x = 420,028,102,166.04 × 169,036,659,204.87 - Step 4: Simplify right side
304,367,478,768.68x = 71,000,147,162,309,215,649,792 - Step 5: Solve for x
x = 71,000,147,162,309,215,649,792/304,367,478,768.68 - Step 6: Final answer
x = 233,271,134,779.38
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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.