Finding the Fourth Proportional to 826,782,306,001.30, 1,240,173,459,002 and 826,782,306,001.30
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Solution
The fourth proportional to 826,782,306,001.30, 1,240,173,459,002 and 826,782,306,001.30 is: 1,240,173,459,002
Step by Step Solution
- Step 1: Write the proportion equation
826,782,306,001.30 : 1,240,173,459,002 = 826,782,306,001.30 : x - Step 2: Convert to fraction form
826,782,306,001.30/1,240,173,459,002 = 826,782,306,001.30/x - Step 3: Cross multiply
826,782,306,001.30x = 1,240,173,459,002 × 826,782,306,001.30 - Step 4: Simplify right side
826,782,306,001.30x = 1,025,353,472,275,282,346,901,504 - Step 5: Solve for x
x = 1,025,353,472,275,282,346,901,504/826,782,306,001.30 - Step 6: Final answer
x = 1,240,173,459,002
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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.