Finding the Fourth Proportional to 2,125,402,416,035.70, 3,188,103,624,053.50 and 2,125,402,416,035.70
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Solution
The fourth proportional to 2,125,402,416,035.70, 3,188,103,624,053.50 and 2,125,402,416,035.70 is: 3,188,103,624,053.50
Step by Step Solution
- Step 1: Write the proportion equation
2,125,402,416,035.70 : 3,188,103,624,053.50 = 2,125,402,416,035.70 : x - Step 2: Convert to fraction form
2,125,402,416,035.70/3,188,103,624,053.50 = 2,125,402,416,035.70/x - Step 3: Cross multiply
2,125,402,416,035.70x = 3,188,103,624,053.50 × 2,125,402,416,035.70 - Step 4: Simplify right side
2,125,402,416,035.70x = 6,776,003,145,135,479,817,502,720 - Step 5: Solve for x
x = 6,776,003,145,135,479,817,502,720/2,125,402,416,035.70 - Step 6: Final answer
x = 3,188,103,624,053.50
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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.