Finding the Fourth Proportional to 1,698,920,898,117.80, 2,548,783,264,047.40 and 551,550,906,163.70
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Solution
The fourth proportional to 1,698,920,898,117.80, 2,548,783,264,047.40 and 551,550,906,163.70 is: 827,456,840,667.31
Step by Step Solution
- Step 1: Write the proportion equation
1,698,920,898,117.80 : 2,548,783,264,047.40 = 551,550,906,163.70 : x - Step 2: Convert to fraction form
1,698,920,898,117.80/2,548,783,264,047.40 = 551,550,906,163.70/x - Step 3: Cross multiply
1,698,920,898,117.80x = 2,548,783,264,047.40 × 551,550,906,163.70 - Step 4: Simplify right side
1,698,920,898,117.80x = 1,405,783,718,900,216,224,546,816 - Step 5: Solve for x
x = 1,405,783,718,900,216,224,546,816/1,698,920,898,117.80 - Step 6: Final answer
x = 827,456,840,667.31
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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.