Finding the Fourth Proportional to 4,470,206,648.50, 6,166,946,809.83 and 2,660,703,890.14
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Solution
The fourth proportional to 4,470,206,648.50, 6,166,946,809.83 and 2,660,703,890.14 is: 3,670,617,637.49
Step by Step Solution
- Step 1: Write the proportion equation
4,470,206,648.50 : 6,166,946,809.83 = 2,660,703,890.14 : x - Step 2: Convert to fraction form
4,470,206,648.50/6,166,946,809.83 = 2,660,703,890.14/x - Step 3: Cross multiply
4,470,206,648.50x = 6,166,946,809.83 × 2,660,703,890.14 - Step 4: Simplify right side
4,470,206,648.50x = 16,408,419,367,201,142,784 - Step 5: Solve for x
x = 16,408,419,367,201,142,784/4,470,206,648.50 - Step 6: Final answer
x = 3,670,617,637.49
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1.5x scale
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.