Finding the Fourth Proportional to 393,463,762,021.98, 590,231,660,881.82 and 110,480,698,436.23
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Solution
The fourth proportional to 393,463,762,021.98, 590,231,660,881.82 and 110,480,698,436.23 is: 165,731,161,106.92
Step by Step Solution
- Step 1: Write the proportion equation
393,463,762,021.98 : 590,231,660,881.82 = 110,480,698,436.23 : x - Step 2: Convert to fraction form
393,463,762,021.98/590,231,660,881.82 = 110,480,698,436.23/x - Step 3: Cross multiply
393,463,762,021.98x = 590,231,660,881.82 × 110,480,698,436.23 - Step 4: Simplify right side
393,463,762,021.98x = 65,209,206,133,399,520,018,432 - Step 5: Solve for x
x = 65,209,206,133,399,520,018,432/393,463,762,021.98 - Step 6: Final answer
x = 165,731,161,106.92
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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.