Finding the Fourth Proportional to 470,911,926,163.80, 706,367,889,245.70 and 470,911,926,163.80
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Solution
The fourth proportional to 470,911,926,163.80, 706,367,889,245.70 and 470,911,926,163.80 is: 706,367,889,245.70
Step by Step Solution
- Step 1: Write the proportion equation
470,911,926,163.80 : 706,367,889,245.70 = 470,911,926,163.80 : x - Step 2: Convert to fraction form
470,911,926,163.80/706,367,889,245.70 = 470,911,926,163.80/x - Step 3: Cross multiply
470,911,926,163.80x = 706,367,889,245.70 × 470,911,926,163.80 - Step 4: Simplify right side
470,911,926,163.80x = 332,637,063,304,950,325,444,608 - Step 5: Solve for x
x = 332,637,063,304,950,325,444,608/470,911,926,163.80 - Step 6: Final answer
x = 706,367,889,245.70
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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.