Finding the Fourth Proportional to 788,049,249,350.16, 1,181,768,270,689.70 and 271,052,450,136.09
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Solution
The fourth proportional to 788,049,249,350.16, 1,181,768,270,689.70 and 271,052,450,136.09 is: 406,473,561,808.07
Step by Step Solution
- Step 1: Write the proportion equation
788,049,249,350.16 : 1,181,768,270,689.70 = 271,052,450,136.09 : x - Step 2: Convert to fraction form
788,049,249,350.16/1,181,768,270,689.70 = 271,052,450,136.09/x - Step 3: Cross multiply
788,049,249,350.16x = 1,181,768,270,689.70 × 271,052,450,136.09 - Step 4: Simplify right side
788,049,249,350.16x = 320,321,185,263,533,223,313,408 - Step 5: Solve for x
x = 320,321,185,263,533,223,313,408/788,049,249,350.16 - Step 6: Final answer
x = 406,473,561,808.07
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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.