Finding the Fourth Proportional to 1,685,706,458,113.70, 2,529,104,240,908.30 and 779,738,562,546.24
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Solution
The fourth proportional to 1,685,706,458,113.70, 2,529,104,240,908.30 and 779,738,562,546.24 is: 1,169,859,732,009.42
Step by Step Solution
- Step 1: Write the proportion equation
1,685,706,458,113.70 : 2,529,104,240,908.30 = 779,738,562,546.24 : x - Step 2: Convert to fraction form
1,685,706,458,113.70/2,529,104,240,908.30 = 779,738,562,546.24/x - Step 3: Cross multiply
1,685,706,458,113.70x = 2,529,104,240,908.30 × 779,738,562,546.24 - Step 4: Simplify right side
1,685,706,458,113.70x = 1,972,040,105,335,437,121,290,240 - Step 5: Solve for x
x = 1,972,040,105,335,437,121,290,240/1,685,706,458,113.70 - Step 6: Final answer
x = 1,169,859,732,009.42
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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.