Finding the Fourth Proportional to 1,685,706,458,107.70, 2,529,104,240,899.20 and 779,738,562,540.23
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Solution
The fourth proportional to 1,685,706,458,107.70, 2,529,104,240,899.20 and 779,738,562,540.23 is: 1,169,859,732,000.36
Step by Step Solution
- Step 1: Write the proportion equation
1,685,706,458,107.70 : 2,529,104,240,899.20 = 779,738,562,540.23 : x - Step 2: Convert to fraction form
1,685,706,458,107.70/2,529,104,240,899.20 = 779,738,562,540.23/x - Step 3: Cross multiply
1,685,706,458,107.70x = 2,529,104,240,899.20 × 779,738,562,540.23 - Step 4: Simplify right side
1,685,706,458,107.70x = 1,972,040,105,313,141,946,056,704 - Step 5: Solve for x
x = 1,972,040,105,313,141,946,056,704/1,685,706,458,107.70 - Step 6: Final answer
x = 1,169,859,732,000.36
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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.