Finding the Fourth Proportional to 313,342,885,601.01, 470,106,544,043.22 and 101,103,036,557.49
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Solution
The fourth proportional to 313,342,885,601.01, 470,106,544,043.22 and 101,103,036,557.49 is: 151,684,309,082.54
Step by Step Solution
- Step 1: Write the proportion equation
313,342,885,601.01 : 470,106,544,043.22 = 101,103,036,557.49 : x - Step 2: Convert to fraction form
313,342,885,601.01/470,106,544,043.22 = 101,103,036,557.49/x - Step 3: Cross multiply
313,342,885,601.01x = 470,106,544,043.22 × 101,103,036,557.49 - Step 4: Simplify right side
313,342,885,601.01x = 47,529,199,108,316,955,934,720 - Step 5: Solve for x
x = 47,529,199,108,316,955,934,720/313,342,885,601.01 - Step 6: Final answer
x = 151,684,309,082.54
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1.5x scale
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.