Finding the Fourth Proportional to 1,222,125,977,664, 1,686,457,858,316.50 and 673,386,574,582.68
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Solution
The fourth proportional to 1,222,125,977,664, 1,686,457,858,316.50 and 673,386,574,582.68 is: 929,231,602,261.23
Step by Step Solution
- Step 1: Write the proportion equation
1,222,125,977,664 : 1,686,457,858,316.50 = 673,386,574,582.68 : x - Step 2: Convert to fraction form
1,222,125,977,664/1,686,457,858,316.50 = 673,386,574,582.68/x - Step 3: Cross multiply
1,222,125,977,664x = 1,686,457,858,316.50 × 673,386,574,582.68 - Step 4: Simplify right side
1,222,125,977,664x = 1,135,638,080,389,790,685,986,816 - Step 5: Solve for x
x = 1,135,638,080,389,790,685,986,816/1,222,125,977,664 - Step 6: Final answer
x = 929,231,602,261.23
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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.