Finding the Fourth Proportional to 1,681,516,194.75, 2,320,562,845.94 and 967,052,306.19
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Solution
The fourth proportional to 1,681,516,194.75, 2,320,562,845.94 and 967,052,306.19 is: 1,334,572,725.99
Step by Step Solution
- Step 1: Write the proportion equation
1,681,516,194.75 : 2,320,562,845.94 = 967,052,306.19 : x - Step 2: Convert to fraction form
1,681,516,194.75/2,320,562,845.94 = 967,052,306.19/x - Step 3: Cross multiply
1,681,516,194.75x = 2,320,562,845.94 × 967,052,306.19 - Step 4: Simplify right side
1,681,516,194.75x = 2,244,105,651,820,271,616 - Step 5: Solve for x
x = 2,244,105,651,820,271,616/1,681,516,194.75 - Step 6: Final answer
x = 1,334,572,725.99
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.