Finding the Fourth Proportional to 264,217,244,844.79, 396,163,669,408.39 and 102,680,037,693.21
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Solution
The fourth proportional to 264,217,244,844.79, 396,163,669,408.39 and 102,680,037,693.21 is: 153,957,023,249.67
Step by Step Solution
- Step 1: Write the proportion equation
264,217,244,844.79 : 396,163,669,408.39 = 102,680,037,693.21 : x - Step 2: Convert to fraction form
264,217,244,844.79/396,163,669,408.39 = 102,680,037,693.21/x - Step 3: Cross multiply
264,217,244,844.79x = 396,163,669,408.39 × 102,680,037,693.21 - Step 4: Simplify right side
264,217,244,844.79x = 40,678,100,507,533,871,415,296 - Step 5: Solve for x
x = 40,678,100,507,533,871,415,296/264,217,244,844.79 - Step 6: Final answer
x = 153,957,023,249.67
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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.