Finding the Fourth Proportional to 2,364,424,775,370.80, 3,546,278,813,365.20 and 643,507,218,301.44
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Solution
The fourth proportional to 2,364,424,775,370.80, 3,546,278,813,365.20 and 643,507,218,301.44 is: 965,163,298,186.17
Step by Step Solution
- Step 1: Write the proportion equation
2,364,424,775,370.80 : 3,546,278,813,365.20 = 643,507,218,301.44 : x - Step 2: Convert to fraction form
2,364,424,775,370.80/3,546,278,813,365.20 = 643,507,218,301.44/x - Step 3: Cross multiply
2,364,424,775,370.80x = 3,546,278,813,365.20 × 643,507,218,301.44 - Step 4: Simplify right side
2,364,424,775,370.80x = 2,282,056,014,509,971,280,494,592 - Step 5: Solve for x
x = 2,282,056,014,509,971,280,494,592/2,364,424,775,370.80 - Step 6: Final answer
x = 965,163,298,186.17
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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.