Finding the Fourth Proportional to 153,492,742.80, 230,358,507.84 and 107,133,442.20
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Solution
The fourth proportional to 153,492,742.80, 230,358,507.84 and 107,133,442.20 is: 160,783,496.57
Step by Step Solution
- Step 1: Write the proportion equation
153,492,742.80 : 230,358,507.84 = 107,133,442.20 : x - Step 2: Convert to fraction form
153,492,742.80/230,358,507.84 = 107,133,442.20/x - Step 3: Cross multiply
153,492,742.80x = 230,358,507.84 × 107,133,442.20 - Step 4: Simplify right side
153,492,742.80x = 24,679,099,884,954,888 - Step 5: Solve for x
x = 24,679,099,884,954,888/153,492,742.80 - Step 6: Final answer
x = 160,783,496.57
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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.