Finding the Fourth Proportional to 5,165,617,434,449.20, 7,128,768,626,495.50 and 2,970,784,367,862
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Solution
The fourth proportional to 5,165,617,434,449.20, 7,128,768,626,495.50 and 2,970,784,367,862 is: 4,099,806,976,889.70
Step by Step Solution
- Step 1: Write the proportion equation
5,165,617,434,449.20 : 7,128,768,626,495.50 = 2,970,784,367,862 : x - Step 2: Convert to fraction form
5,165,617,434,449.20/7,128,768,626,495.50 = 2,970,784,367,862/x - Step 3: Cross multiply
5,165,617,434,449.20x = 7,128,768,626,495.50 × 2,970,784,367,862 - Step 4: Simplify right side
5,165,617,434,449.20x = 21,178,034,397,697,890,253,275,136 - Step 5: Solve for x
x = 21,178,034,397,697,890,253,275,136/5,165,617,434,449.20 - Step 6: Final answer
x = 4,099,806,976,889.70
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.