Finding the Fourth Proportional to 99,716,490,557.80, 149,583,930,866.13 and 32,564,087,540.14
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Solution
The fourth proportional to 99,716,490,557.80, 149,583,930,866.13 and 32,564,087,540.14 is: 48,849,134,100.84
Step by Step Solution
- Step 1: Write the proportion equation
99,716,490,557.80 : 149,583,930,866.13 = 32,564,087,540.14 : x - Step 2: Convert to fraction form
99,716,490,557.80/149,583,930,866.13 = 32,564,087,540.14/x - Step 3: Cross multiply
99,716,490,557.80x = 149,583,930,866.13 × 32,564,087,540.14 - Step 4: Simplify right side
99,716,490,557.80x = 4,871,064,219,322,906,836,992 - Step 5: Solve for x
x = 4,871,064,219,322,906,836,992/99,716,490,557.80 - Step 6: Final answer
x = 48,849,134,100.84
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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.