Finding the Fourth Proportional to 20,360,705,736,198, 30,545,912,640,752 and 6,592,296,593,238
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Solution
The fourth proportional to 20,360,705,736,198, 30,545,912,640,752 and 6,592,296,593,238 is: 9,890,016,507,678.13
Step by Step Solution
- Step 1: Write the proportion equation
20,360,705,736,198 : 30,545,912,640,752 = 6,592,296,593,238 : x - Step 2: Convert to fraction form
20,360,705,736,198/30,545,912,640,752 = 6,592,296,593,238/x - Step 3: Cross multiply
20,360,705,736,198x = 30,545,912,640,752 × 6,592,296,593,238 - Step 4: Simplify right side
20,360,705,736,198x = 201,367,715,838,974,985,653,714,944 - Step 5: Solve for x
x = 201,367,715,838,974,985,653,714,944/20,360,705,736,198 - Step 6: Final answer
x = 9,890,016,507,678.13
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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.