Finding the Fourth Proportional to 65,378,814,899,464, 98,068,316,733,888 and 26,698,828,047,284
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Solution
The fourth proportional to 65,378,814,899,464, 98,068,316,733,888 and 26,698,828,047,284 is: 40,048,280,614,920.20
Step by Step Solution
- Step 1: Write the proportion equation
65,378,814,899,464 : 98,068,316,733,888 = 26,698,828,047,284 : x - Step 2: Convert to fraction form
65,378,814,899,464/98,068,316,733,888 = 26,698,828,047,284/x - Step 3: Cross multiply
65,378,814,899,464x = 98,068,316,733,888 × 26,698,828,047,284 - Step 4: Simplify right side
65,378,814,899,464x = 2,618,309,125,364,659,976,633,581,568 - Step 5: Solve for x
x = 2,618,309,125,364,659,976,633,581,568/65,378,814,899,464 - Step 6: Final answer
x = 40,048,280,614,920.20
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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.