Finding the Fourth Proportional to 8,389,915,939,887, 11,577,960,778,884 and 4,686,186,299,153
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Solution
The fourth proportional to 8,389,915,939,887, 11,577,960,778,884 and 4,686,186,299,153 is: 6,466,868,269,346.18
Step by Step Solution
- Step 1: Write the proportion equation
8,389,915,939,887 : 11,577,960,778,884 = 4,686,186,299,153 : x - Step 2: Convert to fraction form
8,389,915,939,887/11,577,960,778,884 = 4,686,186,299,153/x - Step 3: Cross multiply
8,389,915,939,887x = 11,577,960,778,884 × 4,686,186,299,153 - Step 4: Simplify right side
8,389,915,939,887x = 54,256,481,174,137,000,467,365,888 - Step 5: Solve for x
x = 54,256,481,174,137,000,467,365,888/8,389,915,939,887 - Step 6: Final answer
x = 6,466,868,269,346.18
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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.