Finding the Fourth Proportional to 919,922,184,097.20, 1,379,883,276,145.80 and 763,193,855,905.20
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Solution
The fourth proportional to 919,922,184,097.20, 1,379,883,276,145.80 and 763,193,855,905.20 is: 1,144,790,783,857.80
Step by Step Solution
- Step 1: Write the proportion equation
919,922,184,097.20 : 1,379,883,276,145.80 = 763,193,855,905.20 : x - Step 2: Convert to fraction form
919,922,184,097.20/1,379,883,276,145.80 = 763,193,855,905.20/x - Step 3: Cross multiply
919,922,184,097.20x = 1,379,883,276,145.80 × 763,193,855,905.20 - Step 4: Simplify right side
919,922,184,097.20x = 1,053,118,438,220,812,928,417,792 - Step 5: Solve for x
x = 1,053,118,438,220,812,928,417,792/919,922,184,097.20 - Step 6: Final answer
x = 1,144,790,783,857.80
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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.