Finding the Fourth Proportional to 5,120,862,023.20, 7,677,466,659.60 and 2,794,425,901.60
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Solution
The fourth proportional to 5,120,862,023.20, 7,677,466,659.60 and 2,794,425,901.60 is: 4,189,550,820.75
Step by Step Solution
- Step 1: Write the proportion equation
5,120,862,023.20 : 7,677,466,659.60 = 2,794,425,901.60 : x - Step 2: Convert to fraction form
5,120,862,023.20/7,677,466,659.60 = 2,794,425,901.60/x - Step 3: Cross multiply
5,120,862,023.20x = 7,677,466,659.60 × 2,794,425,901.60 - Step 4: Simplify right side
5,120,862,023.20x = 21,454,111,692,256,669,696 - Step 5: Solve for x
x = 21,454,111,692,256,669,696/5,120,862,023.20 - Step 6: Final answer
x = 4,189,550,820.75
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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.