Finding the Fourth Proportional to 99,653,886,546.13, 149,463,969,896.14 and 27,926,892,605.42
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Solution
The fourth proportional to 99,653,886,546.13, 149,463,969,896.14 and 27,926,892,605.42 is: 41,885,614,102.33
Step by Step Solution
- Step 1: Write the proportion equation
99,653,886,546.13 : 149,463,969,896.14 = 27,926,892,605.42 : x - Step 2: Convert to fraction form
99,653,886,546.13/149,463,969,896.14 = 27,926,892,605.42/x - Step 3: Cross multiply
99,653,886,546.13x = 149,463,969,896.14 × 27,926,892,605.42 - Step 4: Simplify right side
99,653,886,546.13x = 4,174,064,235,668,483,080,192 - Step 5: Solve for x
x = 4,174,064,235,668,483,080,192/99,653,886,546.13 - Step 6: Final answer
x = 41,885,614,102.33
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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.