Finding the Fourth Proportional to 313,970,146.38, 470,919,344.67 and 83,957,167.98
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Solution
The fourth proportional to 313,970,146.38, 470,919,344.67 and 83,957,167.98 is: 125,926,158.84
Step by Step Solution
- Step 1: Write the proportion equation
313,970,146.38 : 470,919,344.67 = 83,957,167.98 : x - Step 2: Convert to fraction form
313,970,146.38/470,919,344.67 = 83,957,167.98/x - Step 3: Cross multiply
313,970,146.38x = 470,919,344.67 × 83,957,167.98 - Step 4: Simplify right side
313,970,146.38x = 39,537,054,525,490,712 - Step 5: Solve for x
x = 39,537,054,525,490,712/313,970,146.38 - Step 6: Final answer
x = 125,926,158.84
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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.