Finding the Fourth Proportional to 1,462,396,613,784.70, 2,193,232,430,448.70 and 494,283,531,602.40
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Solution
The fourth proportional to 1,462,396,613,784.70, 2,193,232,430,448.70 and 494,283,531,602.40 is: 741,302,777,323.51
Step by Step Solution
- Step 1: Write the proportion equation
1,462,396,613,784.70 : 2,193,232,430,448.70 = 494,283,531,602.40 : x - Step 2: Convert to fraction form
1,462,396,613,784.70/2,193,232,430,448.70 = 494,283,531,602.40/x - Step 3: Cross multiply
1,462,396,613,784.70x = 2,193,232,430,448.70 × 494,283,531,602.40 - Step 4: Simplify right side
1,462,396,613,784.70x = 1,084,078,671,347,098,549,485,568 - Step 5: Solve for x
x = 1,084,078,671,347,098,549,485,568/1,462,396,613,784.70 - Step 6: Final answer
x = 741,302,777,323.51
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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.