Finding the Fourth Proportional to 2,282,965,405.54, 3,423,201,879.16 and 687,366,947.14
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Solution
The fourth proportional to 2,282,965,405.54, 3,423,201,879.16 and 687,366,947.14 is: 1,030,675,199.64
Step by Step Solution
- Step 1: Write the proportion equation
2,282,965,405.54 : 3,423,201,879.16 = 687,366,947.14 : x - Step 2: Convert to fraction form
2,282,965,405.54/3,423,201,879.16 = 687,366,947.14/x - Step 3: Cross multiply
2,282,965,405.54x = 3,423,201,879.16 × 687,366,947.14 - Step 4: Simplify right side
2,282,965,405.54x = 2,352,995,825,122,120,192 - Step 5: Solve for x
x = 2,352,995,825,122,120,192/2,282,965,405.54 - Step 6: Final answer
x = 1,030,675,199.64
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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.