Finding the Fourth Proportional to 782,753,906,602.62, 1,080,183,460,368.80 and 453,170,843,532.54
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Solution
The fourth proportional to 782,753,906,602.62, 1,080,183,460,368.80 and 453,170,843,532.54 is: 625,365,962,119.35
Step by Step Solution
- Step 1: Write the proportion equation
782,753,906,602.62 : 1,080,183,460,368.80 = 453,170,843,532.54 : x - Step 2: Convert to fraction form
782,753,906,602.62/1,080,183,460,368.80 = 453,170,843,532.54/x - Step 3: Cross multiply
782,753,906,602.62x = 1,080,183,460,368.80 × 453,170,843,532.54 - Step 4: Simplify right side
782,753,906,602.62x = 489,507,649,905,227,072,536,576 - Step 5: Solve for x
x = 489,507,649,905,227,072,536,576/782,753,906,602.62 - Step 6: Final answer
x = 625,365,962,119.35
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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.