Finding the Fourth Proportional to 730,830,368,756.72, 1,096,241,131,546 and 397,563,292,503.92
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Solution
The fourth proportional to 730,830,368,756.72, 1,096,241,131,546 and 397,563,292,503.92 is: 596,342,533,462.41
Step by Step Solution
- Step 1: Write the proportion equation
730,830,368,756.72 : 1,096,241,131,546 = 397,563,292,503.92 : x - Step 2: Convert to fraction form
730,830,368,756.72/1,096,241,131,546 = 397,563,292,503.92/x - Step 3: Cross multiply
730,830,368,756.72x = 1,096,241,131,546 × 397,563,292,503.92 - Step 4: Simplify right side
730,830,368,756.72x = 435,825,233,635,650,599,649,280 - Step 5: Solve for x
x = 435,825,233,635,650,599,649,280/730,830,368,756.72 - Step 6: Final answer
x = 596,342,533,462.41
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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.