Finding the Fourth Proportional to 16,210,921,260,947, 24,320,497,777,832 and 7,504,374,122,241
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Solution
The fourth proportional to 16,210,921,260,947, 24,320,497,777,832 and 7,504,374,122,241 is: 11,258,466,513,168.45
Step by Step Solution
- Step 1: Write the proportion equation
16,210,921,260,947 : 24,320,497,777,832 = 7,504,374,122,241 : x - Step 2: Convert to fraction form
16,210,921,260,947/24,320,497,777,832 = 7,504,374,122,241/x - Step 3: Cross multiply
16,210,921,260,947x = 24,320,497,777,832 × 7,504,374,122,241 - Step 4: Simplify right side
16,210,921,260,947x = 182,510,114,163,982,218,525,933,568 - Step 5: Solve for x
x = 182,510,114,163,982,218,525,933,568/16,210,921,260,947 - Step 6: Final answer
x = 11,258,466,513,168.45
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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.