Finding the Fourth Proportional to 49,902,010,921.35, 68,888,521,294.52 and 33,431,914,216.68
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Solution
The fourth proportional to 49,902,010,921.35, 68,888,521,294.52 and 33,431,914,216.68 is: 46,151,950,430.66
Step by Step Solution
- Step 1: Write the proportion equation
49,902,010,921.35 : 68,888,521,294.52 = 33,431,914,216.68 : x - Step 2: Convert to fraction form
49,902,010,921.35/68,888,521,294.52 = 33,431,914,216.68/x - Step 3: Cross multiply
49,902,010,921.35x = 68,888,521,294.52 × 33,431,914,216.68 - Step 4: Simplify right side
49,902,010,921.35x = 2,303,075,134,432,158,941,184 - Step 5: Solve for x
x = 2,303,075,134,432,158,941,184/49,902,010,921.35 - Step 6: Final answer
x = 46,151,950,430.66
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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.