Finding the Fourth Proportional to 842,022,221.82, 1,263,152,020.17 and 259,803,805.74
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Solution
The fourth proportional to 842,022,221.82, 1,263,152,020.17 and 259,803,805.74 is: 389,742,329.32
Step by Step Solution
- Step 1: Write the proportion equation
842,022,221.82 : 1,263,152,020.17 = 259,803,805.74 : x - Step 2: Convert to fraction form
842,022,221.82/1,263,152,020.17 = 259,803,805.74/x - Step 3: Cross multiply
842,022,221.82x = 1,263,152,020.17 × 259,803,805.74 - Step 4: Simplify right side
842,022,221.82x = 328,171,702,068,335,296 - Step 5: Solve for x
x = 328,171,702,068,335,296/842,022,221.82 - Step 6: Final answer
x = 389,742,329.32
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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.