Finding the Fourth Proportional to 1,685,706,458,104.70, 2,529,104,240,894.70 and 779,738,562,537.23
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Solution
The fourth proportional to 1,685,706,458,104.70, 2,529,104,240,894.70 and 779,738,562,537.23 is: 1,169,859,731,995.85
Step by Step Solution
- Step 1: Write the proportion equation
1,685,706,458,104.70 : 2,529,104,240,894.70 = 779,738,562,537.23 : x - Step 2: Convert to fraction form
1,685,706,458,104.70/2,529,104,240,894.70 = 779,738,562,537.23/x - Step 3: Cross multiply
1,685,706,458,104.70x = 2,529,104,240,894.70 × 779,738,562,537.23 - Step 4: Simplify right side
1,685,706,458,104.70x = 1,972,040,105,302,045,629,612,032 - Step 5: Solve for x
x = 1,972,040,105,302,045,629,612,032/1,685,706,458,104.70 - Step 6: Final answer
x = 1,169,859,731,995.85
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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.