Finding the Fourth Proportional to 419,134,893,894.80, 628,702,340,842.20 and 154,084,434,707.60
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Solution
The fourth proportional to 419,134,893,894.80, 628,702,340,842.20 and 154,084,434,707.60 is: 231,126,652,061.40
Step by Step Solution
- Step 1: Write the proportion equation
419,134,893,894.80 : 628,702,340,842.20 = 154,084,434,707.60 : x - Step 2: Convert to fraction form
419,134,893,894.80/628,702,340,842.20 = 154,084,434,707.60/x - Step 3: Cross multiply
419,134,893,894.80x = 628,702,340,842.20 × 154,084,434,707.60 - Step 4: Simplify right side
419,134,893,894.80x = 96,873,244,788,015,245,557,760 - Step 5: Solve for x
x = 96,873,244,788,015,245,557,760/419,134,893,894.80 - Step 6: Final answer
x = 231,126,652,061.40
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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.