Finding the Fourth Proportional to 4,000,782,874.88, 5,998,848,125.68 and 1,513,835,918.67
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Solution
The fourth proportional to 4,000,782,874.88, 5,998,848,125.68 and 1,513,835,918.67 is: 2,269,873,684.05
Step by Step Solution
- Step 1: Write the proportion equation
4,000,782,874.88 : 5,998,848,125.68 = 1,513,835,918.67 : x - Step 2: Convert to fraction form
4,000,782,874.88/5,998,848,125.68 = 1,513,835,918.67/x - Step 3: Cross multiply
4,000,782,874.88x = 5,998,848,125.68 × 1,513,835,918.67 - Step 4: Simplify right side
4,000,782,874.88x = 9,081,271,763,300,591,616 - Step 5: Solve for x
x = 9,081,271,763,300,591,616/4,000,782,874.88 - Step 6: Final answer
x = 2,269,873,684.05
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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.