Finding the Fourth Proportional to 203,167,946.24, 280,370,224.81 and 110,349,118.38
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Solution
The fourth proportional to 203,167,946.24, 280,370,224.81 and 110,349,118.38 is: 152,280,946.38
Step by Step Solution
- Step 1: Write the proportion equation
203,167,946.24 : 280,370,224.81 = 110,349,118.38 : x - Step 2: Convert to fraction form
203,167,946.24/280,370,224.81 = 110,349,118.38/x - Step 3: Cross multiply
203,167,946.24x = 280,370,224.81 × 110,349,118.38 - Step 4: Simplify right side
203,167,946.24x = 30,938,607,127,785,900 - Step 5: Solve for x
x = 30,938,607,127,785,900/203,167,946.24 - Step 6: Final answer
x = 152,280,946.38
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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.