Finding the Fourth Proportional to 416,271,769.26, 624,165,626.79 and 157,506,946.26
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Solution
The fourth proportional to 416,271,769.26, 624,165,626.79 and 157,506,946.26 is: 236,168,842.32
Step by Step Solution
- Step 1: Write the proportion equation
416,271,769.26 : 624,165,626.79 = 157,506,946.26 : x - Step 2: Convert to fraction form
416,271,769.26/624,165,626.79 = 157,506,946.26/x - Step 3: Cross multiply
416,271,769.26x = 624,165,626.79 × 157,506,946.26 - Step 4: Simplify right side
416,271,769.26x = 98,310,421,836,151,728 - Step 5: Solve for x
x = 98,310,421,836,151,728/416,271,769.26 - Step 6: Final answer
x = 236,168,842.32
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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.