Finding the Fourth Proportional to 1,546,226,281.13, 2,320,052,724.77 and 706,126,563.44
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Solution
The fourth proportional to 1,546,226,281.13, 2,320,052,724.77 and 706,126,563.44 is: 1,059,515,594.53
Step by Step Solution
- Step 1: Write the proportion equation
1,546,226,281.13 : 2,320,052,724.77 = 706,126,563.44 : x - Step 2: Convert to fraction form
1,546,226,281.13/2,320,052,724.77 = 706,126,563.44/x - Step 3: Cross multiply
1,546,226,281.13x = 2,320,052,724.77 × 706,126,563.44 - Step 4: Simplify right side
1,546,226,281.13x = 1,638,250,857,526,317,056 - Step 5: Solve for x
x = 1,638,250,857,526,317,056/1,546,226,281.13 - Step 6: Final answer
x = 1,059,515,594.53
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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.