Finding the Fourth Proportional to 1,685,706,458,114.70, 2,529,104,240,909.80 and 779,738,562,547.23
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Solution
The fourth proportional to 1,685,706,458,114.70, 2,529,104,240,909.80 and 779,738,562,547.23 is: 1,169,859,732,010.90
Step by Step Solution
- Step 1: Write the proportion equation
1,685,706,458,114.70 : 2,529,104,240,909.80 = 779,738,562,547.23 : x - Step 2: Convert to fraction form
1,685,706,458,114.70/2,529,104,240,909.80 = 779,738,562,547.23/x - Step 3: Cross multiply
1,685,706,458,114.70x = 2,529,104,240,909.80 × 779,738,562,547.23 - Step 4: Simplify right side
1,685,706,458,114.70x = 1,972,040,105,339,110,660,505,600 - Step 5: Solve for x
x = 1,972,040,105,339,110,660,505,600/1,685,706,458,114.70 - Step 6: Final answer
x = 1,169,859,732,010.90
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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.