Finding the Fourth Proportional to 5,150,083,589,682, 7,107,490,985,770.80 and 2,985,349,340,803.80
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Solution
The fourth proportional to 5,150,083,589,682, 7,107,490,985,770.80 and 2,985,349,340,803.80 is: 4,119,999,832,944.45
Step by Step Solution
- Step 1: Write the proportion equation
5,150,083,589,682 : 7,107,490,985,770.80 = 2,985,349,340,803.80 : x - Step 2: Convert to fraction form
5,150,083,589,682/7,107,490,985,770.80 = 2,985,349,340,803.80/x - Step 3: Cross multiply
5,150,083,589,682x = 7,107,490,985,770.80 × 2,985,349,340,803.80 - Step 4: Simplify right side
5,150,083,589,682x = 21,218,343,529,139,807,386,075,136 - Step 5: Solve for x
x = 21,218,343,529,139,807,386,075,136/5,150,083,589,682 - Step 6: Final answer
x = 4,119,999,832,944.45
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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.