Finding the Fourth Proportional to 4,323,854,889,382, 5,966,525,354,601.80 and 2,565,701,426,183.30
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Solution
The fourth proportional to 4,323,854,889,382, 5,966,525,354,601.80 and 2,565,701,426,183.30 is: 3,540,433,942,233.58
Step by Step Solution
- Step 1: Write the proportion equation
4,323,854,889,382 : 5,966,525,354,601.80 = 2,565,701,426,183.30 : x - Step 2: Convert to fraction form
4,323,854,889,382/5,966,525,354,601.80 = 2,565,701,426,183.30/x - Step 3: Cross multiply
4,323,854,889,382x = 5,966,525,354,601.80 × 2,565,701,426,183.30 - Step 4: Simplify right side
4,323,854,889,382x = 15,308,322,611,660,655,744,253,952 - Step 5: Solve for x
x = 15,308,322,611,660,655,744,253,952/4,323,854,889,382 - Step 6: Final answer
x = 3,540,433,942,233.58
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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.