Finding the Fourth Proportional to 1,748,290,644,703.70, 2,412,479,180,650.60 and 967,006,956,828.90
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Solution
The fourth proportional to 1,748,290,644,703.70, 2,412,479,180,650.60 and 967,006,956,828.90 is: 1,334,380,045,995.95
Step by Step Solution
- Step 1: Write the proportion equation
1,748,290,644,703.70 : 2,412,479,180,650.60 = 967,006,956,828.90 : x - Step 2: Convert to fraction form
1,748,290,644,703.70/2,412,479,180,650.60 = 967,006,956,828.90/x - Step 3: Cross multiply
1,748,290,644,703.70x = 2,412,479,180,650.60 × 967,006,956,828.90 - Step 4: Simplify right side
1,748,290,644,703.70x = 2,332,884,150,894,014,972,821,504 - Step 5: Solve for x
x = 2,332,884,150,894,014,972,821,504/1,748,290,644,703.70 - Step 6: Final answer
x = 1,334,380,045,995.95
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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.