Finding the Fourth Proportional to 8,134,265,026.76, 12,206,104,890.84 and 3,412,164,031.19
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Solution
The fourth proportional to 8,134,265,026.76, 12,206,104,890.84 and 3,412,164,031.19 is: 5,120,220,687.73
Step by Step Solution
- Step 1: Write the proportion equation
8,134,265,026.76 : 12,206,104,890.84 = 3,412,164,031.19 : x - Step 2: Convert to fraction form
8,134,265,026.76/12,206,104,890.84 = 3,412,164,031.19/x - Step 3: Cross multiply
8,134,265,026.76x = 12,206,104,890.84 × 3,412,164,031.19 - Step 4: Simplify right side
8,134,265,026.76x = 41,649,232,069,456,592,896 - Step 5: Solve for x
x = 41,649,232,069,456,592,896/8,134,265,026.76 - Step 6: Final answer
x = 5,120,220,687.73
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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.