Finding the Fourth Proportional to 365,423,720,191.14, 547,912,174,074.09 and 174,254,227,685.68
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Solution
The fourth proportional to 365,423,720,191.14, 547,912,174,074.09 and 174,254,227,685.68 is: 261,274,809,098.11
Step by Step Solution
- Step 1: Write the proportion equation
365,423,720,191.14 : 547,912,174,074.09 = 174,254,227,685.68 : x - Step 2: Convert to fraction form
365,423,720,191.14/547,912,174,074.09 = 174,254,227,685.68/x - Step 3: Cross multiply
365,423,720,191.14x = 547,912,174,074.09 × 174,254,227,685.68 - Step 4: Simplify right side
365,423,720,191.14x = 95,476,012,732,862,406,066,176 - Step 5: Solve for x
x = 95,476,012,732,862,406,066,176/365,423,720,191.14 - Step 6: Final answer
x = 261,274,809,098.11
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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.