Finding the Fourth Proportional to 440,626,719,153.34, 661,241,986,869.05 and 153,784,775,568.70
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Solution
The fourth proportional to 440,626,719,153.34, 661,241,986,869.05 and 153,784,775,568.70 is: 230,782,533,439.31
Step by Step Solution
- Step 1: Write the proportion equation
440,626,719,153.34 : 661,241,986,869.05 = 153,784,775,568.70 : x - Step 2: Convert to fraction form
440,626,719,153.34/661,241,986,869.05 = 153,784,775,568.70/x - Step 3: Cross multiply
440,626,719,153.34x = 661,241,986,869.05 × 153,784,775,568.70 - Step 4: Simplify right side
440,626,719,153.34x = 101,688,950,547,258,147,864,576 - Step 5: Solve for x
x = 101,688,950,547,258,147,864,576/440,626,719,153.34 - Step 6: Final answer
x = 230,782,533,439.31
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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.