Finding the Fourth Proportional to 755,089,161,416.13, 1,042,023,460,769.70 and 407,859,438,533.28
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Solution
The fourth proportional to 755,089,161,416.13, 1,042,023,460,769.70 and 407,859,438,533.28 is: 562,846,250,965.88
Step by Step Solution
- Step 1: Write the proportion equation
755,089,161,416.13 : 1,042,023,460,769.70 = 407,859,438,533.28 : x - Step 2: Convert to fraction form
755,089,161,416.13/1,042,023,460,769.70 = 407,859,438,533.28/x - Step 3: Cross multiply
755,089,161,416.13x = 1,042,023,460,769.70 × 407,859,438,533.28 - Step 4: Simplify right side
755,089,161,416.13x = 424,999,103,648,035,200,040,960 - Step 5: Solve for x
x = 424,999,103,648,035,200,040,960/755,089,161,416.13 - Step 6: Final answer
x = 562,846,250,965.88
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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.