Finding the Fourth Proportional to 1,968,047,136,653.10, 2,948,847,001,412.70 and 1,048,139,797,662.70
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Solution
The fourth proportional to 1,968,047,136,653.10, 2,948,847,001,412.70 and 1,048,139,797,662.70 is: 1,570,492,820,946.99
Step by Step Solution
- Step 1: Write the proportion equation
1,968,047,136,653.10 : 2,948,847,001,412.70 = 1,048,139,797,662.70 : x - Step 2: Convert to fraction form
1,968,047,136,653.10/2,948,847,001,412.70 = 1,048,139,797,662.70/x - Step 3: Cross multiply
1,968,047,136,653.10x = 2,948,847,001,412.70 × 1,048,139,797,662.70 - Step 4: Simplify right side
1,968,047,136,653.10x = 3,090,803,899,398,967,112,237,056 - Step 5: Solve for x
x = 3,090,803,899,398,967,112,237,056/1,968,047,136,653.10 - Step 6: Final answer
x = 1,570,492,820,946.99
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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.