Finding the Fourth Proportional to 782,308,400,505.20, 1,173,461,136,080.30 and 245,127,484,577.62
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Solution
The fourth proportional to 782,308,400,505.20, 1,173,461,136,080.30 and 245,127,484,577.62 is: 367,690,767,926.31
Step by Step Solution
- Step 1: Write the proportion equation
782,308,400,505.20 : 1,173,461,136,080.30 = 245,127,484,577.62 : x - Step 2: Convert to fraction form
782,308,400,505.20/1,173,461,136,080.30 = 245,127,484,577.62/x - Step 3: Cross multiply
782,308,400,505.20x = 1,173,461,136,080.30 × 245,127,484,577.62 - Step 4: Simplify right side
782,308,400,505.20x = 287,647,576,536,960,204,800,000 - Step 5: Solve for x
x = 287,647,576,536,960,204,800,000/782,308,400,505.20 - Step 6: Final answer
x = 367,690,767,926.31
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.