Finding the Fourth Proportional to 389,546,370,305.10, 584,319,555,457.70 and 389,546,370,305.10
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Solution
The fourth proportional to 389,546,370,305.10, 584,319,555,457.70 and 389,546,370,305.10 is: 584,319,555,457.70
Step by Step Solution
- Step 1: Write the proportion equation
389,546,370,305.10 : 584,319,555,457.70 = 389,546,370,305.10 : x - Step 2: Convert to fraction form
389,546,370,305.10/584,319,555,457.70 = 389,546,370,305.10/x - Step 3: Cross multiply
389,546,370,305.10x = 584,319,555,457.70 × 389,546,370,305.10 - Step 4: Simplify right side
389,546,370,305.10x = 227,619,561,926,836,600,438,784 - Step 5: Solve for x
x = 227,619,561,926,836,600,438,784/389,546,370,305.10 - Step 6: Final answer
x = 584,319,555,457.70
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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.