Finding the Fourth Proportional to 1,530,782,180,128.20, 2,112,480,256,138.80 and 826,848,040,656.67
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Solution
The fourth proportional to 1,530,782,180,128.20, 2,112,480,256,138.80 and 826,848,040,656.67 is: 1,141,050,753,914.57
Step by Step Solution
- Step 1: Write the proportion equation
1,530,782,180,128.20 : 2,112,480,256,138.80 = 826,848,040,656.67 : x - Step 2: Convert to fraction form
1,530,782,180,128.20/2,112,480,256,138.80 = 826,848,040,656.67/x - Step 3: Cross multiply
1,530,782,180,128.20x = 2,112,480,256,138.80 × 826,848,040,656.67 - Step 4: Simplify right side
1,530,782,180,128.20x = 1,746,700,160,714,267,275,821,056 - Step 5: Solve for x
x = 1,746,700,160,714,267,275,821,056/1,530,782,180,128.20 - Step 6: Final answer
x = 1,141,050,753,914.57
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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.