Finding the Fourth Proportional to 171,524,097,430.29, 257,276,835,268.11 and 52,132,113,369.68
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Solution
The fourth proportional to 171,524,097,430.29, 257,276,835,268.11 and 52,132,113,369.68 is: 78,195,340,156.44
Step by Step Solution
- Step 1: Write the proportion equation
171,524,097,430.29 : 257,276,835,268.11 = 52,132,113,369.68 : x - Step 2: Convert to fraction form
171,524,097,430.29/257,276,835,268.11 = 52,132,113,369.68/x - Step 3: Cross multiply
171,524,097,430.29x = 257,276,835,268.11 × 52,132,113,369.68 - Step 4: Simplify right side
171,524,097,430.29x = 13,412,385,143,588,309,172,224 - Step 5: Solve for x
x = 13,412,385,143,588,309,172,224/171,524,097,430.29 - Step 6: Final answer
x = 78,195,340,156.44
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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.