Finding the Fourth Proportional to 163,458,136,246.05, 245,187,204,369.07 and 163,458,136,246.05
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Solution
The fourth proportional to 163,458,136,246.05, 245,187,204,369.07 and 163,458,136,246.05 is: 245,187,204,369.07
Step by Step Solution
- Step 1: Write the proportion equation
163,458,136,246.05 : 245,187,204,369.07 = 163,458,136,246.05 : x - Step 2: Convert to fraction form
163,458,136,246.05/245,187,204,369.07 = 163,458,136,246.05/x - Step 3: Cross multiply
163,458,136,246.05x = 245,187,204,369.07 × 163,458,136,246.05 - Step 4: Simplify right side
163,458,136,246.05x = 40,077,843,457,547,551,375,360 - Step 5: Solve for x
x = 40,077,843,457,547,551,375,360/163,458,136,246.05 - Step 6: Final answer
x = 245,187,204,369.07
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1.5x scale
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.