Finding the Fourth Proportional to 180,342,597,965.98, 248,877,645,250.74 and 106,104,726,609.66
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Solution
The fourth proportional to 180,342,597,965.98, 248,877,645,250.74 and 106,104,726,609.66 is: 146,427,382,140.56
Step by Step Solution
- Step 1: Write the proportion equation
180,342,597,965.98 : 248,877,645,250.74 = 106,104,726,609.66 : x - Step 2: Convert to fraction form
180,342,597,965.98/248,877,645,250.74 = 106,104,726,609.66/x - Step 3: Cross multiply
180,342,597,965.98x = 248,877,645,250.74 × 106,104,726,609.66 - Step 4: Simplify right side
180,342,597,965.98x = 26,407,094,508,585,714,974,720 - Step 5: Solve for x
x = 26,407,094,508,585,714,974,720/180,342,597,965.98 - Step 6: Final answer
x = 146,427,382,140.56
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1.5x scale
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.