Finding the Fourth Proportional to 1,289,120,504,916.30, 1,778,991,827,505.80 and 703,183,119,551.02
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Solution
The fourth proportional to 1,289,120,504,916.30, 1,778,991,827,505.80 and 703,183,119,551.02 is: 970,395,721,851.09
Step by Step Solution
- Step 1: Write the proportion equation
1,289,120,504,916.30 : 1,778,991,827,505.80 = 703,183,119,551.02 : x - Step 2: Convert to fraction form
1,289,120,504,916.30/1,778,991,827,505.80 = 703,183,119,551.02/x - Step 3: Cross multiply
1,289,120,504,916.30x = 1,778,991,827,505.80 × 703,183,119,551.02 - Step 4: Simplify right side
1,289,120,504,916.30x = 1,250,957,022,921,298,618,089,472 - Step 5: Solve for x
x = 1,250,957,022,921,298,618,089,472/1,289,120,504,916.30 - Step 6: Final answer
x = 970,395,721,851.09
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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.