Finding the Fourth Proportional to 7,643,047,236,401.70, 11,464,613,715,984 and 2,549,372,432,894.10
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Solution
The fourth proportional to 7,643,047,236,401.70, 11,464,613,715,984 and 2,549,372,432,894.10 is: 3,824,072,945,945.75
Step by Step Solution
- Step 1: Write the proportion equation
7,643,047,236,401.70 : 11,464,613,715,984 = 2,549,372,432,894.10 : x - Step 2: Convert to fraction form
7,643,047,236,401.70/11,464,613,715,984 = 2,549,372,432,894.10/x - Step 3: Cross multiply
7,643,047,236,401.70x = 11,464,613,715,984 × 2,549,372,432,894.10 - Step 4: Simplify right side
7,643,047,236,401.70x = 29,227,570,161,309,199,085,076,480 - Step 5: Solve for x
x = 29,227,570,161,309,199,085,076,480/7,643,047,236,401.70 - Step 6: Final answer
x = 3,824,072,945,945.75
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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.