Finding the Fourth Proportional to 212,090,684,752.99, 318,186,590,009.21 and 68,669,756,180.49
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Solution
The fourth proportional to 212,090,684,752.99, 318,186,590,009.21 and 68,669,756,180.49 is: 103,021,005,289.70
Step by Step Solution
- Step 1: Write the proportion equation
212,090,684,752.99 : 318,186,590,009.21 = 68,669,756,180.49 : x - Step 2: Convert to fraction form
212,090,684,752.99/318,186,590,009.21 = 68,669,756,180.49/x - Step 3: Cross multiply
212,090,684,752.99x = 318,186,590,009.21 × 68,669,756,180.49 - Step 4: Simplify right side
212,090,684,752.99x = 21,849,795,555,833,986,154,496 - Step 5: Solve for x
x = 21,849,795,555,833,986,154,496/212,090,684,752.99 - Step 6: Final answer
x = 103,021,005,289.70
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1.5x scale
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.