Finding the Fourth Proportional to 203,442,157,705.41, 305,209,210,675.68 and 67,303,962,838.62
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Solution
The fourth proportional to 203,442,157,705.41, 305,209,210,675.68 and 67,303,962,838.62 is: 100,971,153,693.06
Step by Step Solution
- Step 1: Write the proportion equation
203,442,157,705.41 : 305,209,210,675.68 = 67,303,962,838.62 : x - Step 2: Convert to fraction form
203,442,157,705.41/305,209,210,675.68 = 67,303,962,838.62/x - Step 3: Cross multiply
203,442,157,705.41x = 305,209,210,675.68 × 67,303,962,838.62 - Step 4: Simplify right side
203,442,157,705.41x = 20,541,789,373,320,510,046,208 - Step 5: Solve for x
x = 20,541,789,373,320,510,046,208/203,442,157,705.41 - Step 6: Final answer
x = 100,971,153,693.06
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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.