Finding the Fourth Proportional to 120,318,446,905.70, 180,477,670,358.55 and 64,529,896,489.70
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Solution
The fourth proportional to 120,318,446,905.70, 180,477,670,358.55 and 64,529,896,489.70 is: 96,794,844,734.55
Step by Step Solution
- Step 1: Write the proportion equation
120,318,446,905.70 : 180,477,670,358.55 = 64,529,896,489.70 : x - Step 2: Convert to fraction form
120,318,446,905.70/180,477,670,358.55 = 64,529,896,489.70/x - Step 3: Cross multiply
120,318,446,905.70x = 180,477,670,358.55 × 64,529,896,489.70 - Step 4: Simplify right side
120,318,446,905.70x = 11,646,205,386,939,428,765,696 - Step 5: Solve for x
x = 11,646,205,386,939,428,765,696/120,318,446,905.70 - Step 6: Final answer
x = 96,794,844,734.55
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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.