Finding the Fourth Proportional to 7,855,997,316.96, 11,786,206,770 and 3,434,805,006.24
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Solution
The fourth proportional to 7,855,997,316.96, 11,786,206,770 and 3,434,805,006.24 is: 5,153,174,114.61
Step by Step Solution
- Step 1: Write the proportion equation
7,855,997,316.96 : 11,786,206,770 = 3,434,805,006.24 : x - Step 2: Convert to fraction form
7,855,997,316.96/11,786,206,770 = 3,434,805,006.24/x - Step 3: Cross multiply
7,855,997,316.96x = 11,786,206,770 × 3,434,805,006.24 - Step 4: Simplify right side
7,855,997,316.96x = 40,483,322,018,175,778,816 - Step 5: Solve for x
x = 40,483,322,018,175,778,816/7,855,997,316.96 - Step 6: Final answer
x = 5,153,174,114.61
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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.