Finding the Fourth Proportional to 1,685,706,458,117.10, 2,529,104,240,913.60 and 779,738,562,549.75
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Solution
The fourth proportional to 1,685,706,458,117.10, 2,529,104,240,913.60 and 779,738,562,549.75 is: 1,169,859,732,014.78
Step by Step Solution
- Step 1: Write the proportion equation
1,685,706,458,117.10 : 2,529,104,240,913.60 = 779,738,562,549.75 : x - Step 2: Convert to fraction form
1,685,706,458,117.10/2,529,104,240,913.60 = 779,738,562,549.75/x - Step 3: Cross multiply
1,685,706,458,117.10x = 2,529,104,240,913.60 × 779,738,562,549.75 - Step 4: Simplify right side
1,685,706,458,117.10x = 1,972,040,105,348,447,114,100,736 - Step 5: Solve for x
x = 1,972,040,105,348,447,114,100,736/1,685,706,458,117.10 - Step 6: Final answer
x = 1,169,859,732,014.78
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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.