Finding the Fourth Proportional to 338,146,936,488.96, 466,643,072,540.16 and 185,902,354,728.96
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Solution
The fourth proportional to 338,146,936,488.96, 466,643,072,540.16 and 185,902,354,728.96 is: 256,545,414,558.28
Step by Step Solution
- Step 1: Write the proportion equation
338,146,936,488.96 : 466,643,072,540.16 = 185,902,354,728.96 : x - Step 2: Convert to fraction form
338,146,936,488.96/466,643,072,540.16 = 185,902,354,728.96/x - Step 3: Cross multiply
338,146,936,488.96x = 466,643,072,540.16 × 185,902,354,728.96 - Step 4: Simplify right side
338,146,936,488.96x = 86,750,046,003,172,632,166,400 - Step 5: Solve for x
x = 86,750,046,003,172,632,166,400/338,146,936,488.96 - Step 6: Final answer
x = 256,545,414,558.28
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.