Finding the Fourth Proportional to 27,379,358,620,052, 37,784,421,023,412 and 15,047,774,786,396
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Solution
The fourth proportional to 27,379,358,620,052, 37,784,421,023,412 and 15,047,774,786,396 is: 20,766,427,215,656.60
Step by Step Solution
- Step 1: Write the proportion equation
27,379,358,620,052 : 37,784,421,023,412 = 15,047,774,786,396 : x - Step 2: Convert to fraction form
27,379,358,620,052/37,784,421,023,412 = 15,047,774,786,396/x - Step 3: Cross multiply
27,379,358,620,052x = 37,784,421,023,412 × 15,047,774,786,396 - Step 4: Simplify right side
27,379,358,620,052x = 568,571,457,994,670,056,184,741,888 - Step 5: Solve for x
x = 568,571,457,994,670,056,184,741,888/27,379,358,620,052 - Step 6: Final answer
x = 20,766,427,215,656.60
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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.