Finding the Fourth Proportional to 4,966,764,848.94, 6,852,957,392.21 and 2,823,202,782.48
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Solution
The fourth proportional to 4,966,764,848.94, 6,852,957,392.21 and 2,823,202,782.48 is: 3,895,350,185.95
Step by Step Solution
- Step 1: Write the proportion equation
4,966,764,848.94 : 6,852,957,392.21 = 2,823,202,782.48 : x - Step 2: Convert to fraction form
4,966,764,848.94/6,852,957,392.21 = 2,823,202,782.48/x - Step 3: Cross multiply
4,966,764,848.94x = 6,852,957,392.21 × 2,823,202,782.48 - Step 4: Simplify right side
4,966,764,848.94x = 19,347,288,377,887,150,080 - Step 5: Solve for x
x = 19,347,288,377,887,150,080/4,966,764,848.94 - Step 6: Final answer
x = 3,895,350,185.95
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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.