Finding the Fourth Proportional to 2,974,230,354,232.40, 4,463,383,411,287 and 1,038,047,235,035.80
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Solution
The fourth proportional to 2,974,230,354,232.40, 4,463,383,411,287 and 1,038,047,235,035.80 is: 1,557,782,100,635.87
Step by Step Solution
- Step 1: Write the proportion equation
2,974,230,354,232.40 : 4,463,383,411,287 = 1,038,047,235,035.80 : x - Step 2: Convert to fraction form
2,974,230,354,232.40/4,463,383,411,287 = 1,038,047,235,035.80/x - Step 3: Cross multiply
2,974,230,354,232.40x = 4,463,383,411,287 × 1,038,047,235,035.80 - Step 4: Simplify right side
2,974,230,354,232.40x = 4,633,202,808,991,127,506,518,016 - Step 5: Solve for x
x = 4,633,202,808,991,127,506,518,016/2,974,230,354,232.40 - Step 6: Final answer
x = 1,557,782,100,635.87
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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.