Finding the Fourth Proportional to 178,142,844,224.16, 245,838,096,902.16 and 104,902,270,354.08
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Solution
The fourth proportional to 178,142,844,224.16, 245,838,096,902.16 and 104,902,270,354.08 is: 144,765,705,391.52
Step by Step Solution
- Step 1: Write the proportion equation
178,142,844,224.16 : 245,838,096,902.16 = 104,902,270,354.08 : x - Step 2: Convert to fraction form
178,142,844,224.16/245,838,096,902.16 = 104,902,270,354.08/x - Step 3: Cross multiply
178,142,844,224.16x = 245,838,096,902.16 × 104,902,270,354.08 - Step 4: Simplify right side
178,142,844,224.16x = 25,788,974,504,562,906,890,240 - Step 5: Solve for x
x = 25,788,974,504,562,906,890,240/178,142,844,224.16 - Step 6: Final answer
x = 144,765,705,391.52
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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.