Finding the Fourth Proportional to 2,028,690,625,836, 2,799,594,867,622.70 and 1,102,744,702,912.40
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Solution
The fourth proportional to 2,028,690,625,836, 2,799,594,867,622.70 and 1,102,744,702,912.40 is: 1,521,788,670,610.86
Step by Step Solution
- Step 1: Write the proportion equation
2,028,690,625,836 : 2,799,594,867,622.70 = 1,102,744,702,912.40 : x - Step 2: Convert to fraction form
2,028,690,625,836/2,799,594,867,622.70 = 1,102,744,702,912.40/x - Step 3: Cross multiply
2,028,690,625,836x = 2,799,594,867,622.70 × 1,102,744,702,912.40 - Step 4: Simplify right side
2,028,690,625,836x = 3,087,238,410,571,673,833,046,016 - Step 5: Solve for x
x = 3,087,238,410,571,673,833,046,016/2,028,690,625,836 - Step 6: Final answer
x = 1,521,788,670,610.86
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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.