Finding the Fourth Proportional to 1,605,109,603,514.10, 2,407,890,576,555 and 515,641,283,409.91
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Solution
The fourth proportional to 1,605,109,603,514.10, 2,407,890,576,555 and 515,641,283,409.91 is: 773,534,582,614.90
Step by Step Solution
- Step 1: Write the proportion equation
1,605,109,603,514.10 : 2,407,890,576,555 = 515,641,283,409.91 : x - Step 2: Convert to fraction form
1,605,109,603,514.10/2,407,890,576,555 = 515,641,283,409.91/x - Step 3: Cross multiply
1,605,109,603,514.10x = 2,407,890,576,555 × 515,641,283,409.91 - Step 4: Simplify right side
1,605,109,603,514.10x = 1,241,607,787,205,448,251,211,776 - Step 5: Solve for x
x = 1,241,607,787,205,448,251,211,776/1,605,109,603,514.10 - Step 6: Final answer
x = 773,534,582,614.90
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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.