Finding the Fourth Proportional to 196,568,743,267.44, 271,452,212,688.12 and 185,859,803,484.72
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Solution
The fourth proportional to 196,568,743,267.44, 271,452,212,688.12 and 185,859,803,484.72 is: 256,663,669,244.02
Step by Step Solution
- Step 1: Write the proportion equation
196,568,743,267.44 : 271,452,212,688.12 = 185,859,803,484.72 : x - Step 2: Convert to fraction form
196,568,743,267.44/271,452,212,688.12 = 185,859,803,484.72/x - Step 3: Cross multiply
196,568,743,267.44x = 271,452,212,688.12 × 185,859,803,484.72 - Step 4: Simplify right side
196,568,743,267.44x = 50,452,054,905,706,401,234,944 - Step 5: Solve for x
x = 50,452,054,905,706,401,234,944/196,568,743,267.44 - Step 6: Final answer
x = 256,663,669,244.02
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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.