Finding the Fourth Proportional to 134,266,145,249.84, 185,286,337,866.81 and 73,298,512,462.10
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Solution
The fourth proportional to 134,266,145,249.84, 185,286,337,866.81 and 73,298,512,462.10 is: 101,151,432,625.96
Step by Step Solution
- Step 1: Write the proportion equation
134,266,145,249.84 : 185,286,337,866.81 = 73,298,512,462.10 : x - Step 2: Convert to fraction form
134,266,145,249.84/185,286,337,866.81 = 73,298,512,462.10/x - Step 3: Cross multiply
134,266,145,249.84x = 185,286,337,866.81 × 73,298,512,462.10 - Step 4: Simplify right side
134,266,145,249.84x = 13,581,212,945,186,874,720,256 - Step 5: Solve for x
x = 13,581,212,945,186,874,720,256/134,266,145,249.84 - Step 6: Final answer
x = 101,151,432,625.96
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.