Finding the Fourth Proportional to 5,785,964,747,789, 7,984,112,373,026.50 and 3,350,174,394,256.40
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Solution
The fourth proportional to 5,785,964,747,789, 7,984,112,373,026.50 and 3,350,174,394,256.40 is: 4,622,940,166,235.96
Step by Step Solution
- Step 1: Write the proportion equation
5,785,964,747,789 : 7,984,112,373,026.50 = 3,350,174,394,256.40 : x - Step 2: Convert to fraction form
5,785,964,747,789/7,984,112,373,026.50 = 3,350,174,394,256.40/x - Step 3: Cross multiply
5,785,964,747,789x = 7,984,112,373,026.50 × 3,350,174,394,256.40 - Step 4: Simplify right side
5,785,964,747,789x = 26,748,168,832,979,084,163,153,920 - Step 5: Solve for x
x = 26,748,168,832,979,084,163,153,920/5,785,964,747,789 - Step 6: Final answer
x = 4,622,940,166,235.96
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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.