Finding the Fourth Proportional to 1,278,027,801,292.10, 1,763,733,805,708.30 and 707,744,841,484.12
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Solution
The fourth proportional to 1,278,027,801,292.10, 1,763,733,805,708.30 and 707,744,841,484.12 is: 976,718,582,709.38
Step by Step Solution
- Step 1: Write the proportion equation
1,278,027,801,292.10 : 1,763,733,805,708.30 = 707,744,841,484.12 : x - Step 2: Convert to fraction form
1,278,027,801,292.10/1,763,733,805,708.30 = 707,744,841,484.12/x - Step 3: Cross multiply
1,278,027,801,292.10x = 1,763,733,805,708.30 × 707,744,841,484.12 - Step 4: Simplify right side
1,278,027,801,292.10x = 1,248,273,502,741,204,603,764,736 - Step 5: Solve for x
x = 1,248,273,502,741,204,603,764,736/1,278,027,801,292.10 - Step 6: Final answer
x = 976,718,582,709.38
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Double scale
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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.