Finding the Fourth Proportional to 106,306,935,107.20, 159,460,402,660.80 and 106,306,935,107.20
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Solution
The fourth proportional to 106,306,935,107.20, 159,460,402,660.80 and 106,306,935,107.20 is: 159,460,402,660.80
Step by Step Solution
- Step 1: Write the proportion equation
106,306,935,107.20 : 159,460,402,660.80 = 106,306,935,107.20 : x - Step 2: Convert to fraction form
106,306,935,107.20/159,460,402,660.80 = 106,306,935,107.20/x - Step 3: Cross multiply
106,306,935,107.20x = 159,460,402,660.80 × 106,306,935,107.20 - Step 4: Simplify right side
106,306,935,107.20x = 16,951,746,677,829,646,942,208 - Step 5: Solve for x
x = 16,951,746,677,829,646,942,208/106,306,935,107.20 - Step 6: Final answer
x = 159,460,402,660.80
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1.5x scale
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.