Finding the Fourth Proportional to 7,772,783,801,425.20, 10,726,778,823,802 and 4,304,402,914,088.80
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Solution
The fourth proportional to 7,772,783,801,425.20, 10,726,778,823,802 and 4,304,402,914,088.80 is: 5,940,262,743,380.73
Step by Step Solution
- Step 1: Write the proportion equation
7,772,783,801,425.20 : 10,726,778,823,802 = 4,304,402,914,088.80 : x - Step 2: Convert to fraction form
7,772,783,801,425.20/10,726,778,823,802 = 4,304,402,914,088.80/x - Step 3: Cross multiply
7,772,783,801,425.20x = 10,726,778,823,802 × 4,304,402,914,088.80 - Step 4: Simplify right side
7,772,783,801,425.20x = 46,172,378,027,959,353,757,138,944 - Step 5: Solve for x
x = 46,172,378,027,959,353,757,138,944/7,772,783,801,425.20 - Step 6: Final answer
x = 5,940,262,743,380.73
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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.