Finding the Fourth Proportional to 2,140,146,138,098, 3,210,520,768,858 and 687,521,711,292
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Solution
The fourth proportional to 2,140,146,138,098, 3,210,520,768,858 and 687,521,711,292 is: 1,031,379,443,604.47
Step by Step Solution
- Step 1: Write the proportion equation
2,140,146,138,098 : 3,210,520,768,858 = 687,521,711,292 : x - Step 2: Convert to fraction form
2,140,146,138,098/3,210,520,768,858 = 687,521,711,292/x - Step 3: Cross multiply
2,140,146,138,098x = 3,210,520,768,858 × 687,521,711,292 - Step 4: Simplify right side
2,140,146,138,098x = 2,207,302,733,143,759,640,330,240 - Step 5: Solve for x
x = 2,207,302,733,143,759,640,330,240/2,140,146,138,098 - Step 6: Final answer
x = 1,031,379,443,604.47
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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.