Finding the Fourth Proportional to 788,049,249,359.16, 1,181,768,270,703.20 and 271,052,450,145.09
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Solution
The fourth proportional to 788,049,249,359.16, 1,181,768,270,703.20 and 271,052,450,145.09 is: 406,473,561,821.57
Step by Step Solution
- Step 1: Write the proportion equation
788,049,249,359.16 : 1,181,768,270,703.20 = 271,052,450,145.09 : x - Step 2: Convert to fraction form
788,049,249,359.16/1,181,768,270,703.20 = 271,052,450,145.09/x - Step 3: Cross multiply
788,049,249,359.16x = 1,181,768,270,703.20 × 271,052,450,145.09 - Step 4: Simplify right side
788,049,249,359.16x = 320,321,185,277,828,350,869,504 - Step 5: Solve for x
x = 320,321,185,277,828,350,869,504/788,049,249,359.16 - Step 6: Final answer
x = 406,473,561,821.57
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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.