Finding the Fourth Proportional to 65,683,729,298,264, 90,643,636,192,828 and 35,649,206,614,184
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Solution
The fourth proportional to 65,683,729,298,264, 90,643,636,192,828 and 35,649,206,614,184 is: 49,195,953,844,606.94
Step by Step Solution
- Step 1: Write the proportion equation
65,683,729,298,264 : 90,643,636,192,828 = 35,649,206,614,184 : x - Step 2: Convert to fraction form
65,683,729,298,264/90,643,636,192,828 = 35,649,206,614,184/x - Step 3: Cross multiply
65,683,729,298,264x = 90,643,636,192,828 × 35,649,206,614,184 - Step 4: Simplify right side
65,683,729,298,264x = 3,231,373,714,899,051,961,049,415,680 - Step 5: Solve for x
x = 3,231,373,714,899,051,961,049,415,680/65,683,729,298,264 - Step 6: Final answer
x = 49,195,953,844,606.94
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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.