Finding the Fourth Proportional to 720,642,481,564.24, 994,420,892,434.44 and 427,616,904,364.48
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Solution
The fourth proportional to 720,642,481,564.24, 994,420,892,434.44 and 427,616,904,364.48 is: 590,072,323,706.43
Step by Step Solution
- Step 1: Write the proportion equation
720,642,481,564.24 : 994,420,892,434.44 = 427,616,904,364.48 : x - Step 2: Convert to fraction form
720,642,481,564.24/994,420,892,434.44 = 427,616,904,364.48/x - Step 3: Cross multiply
720,642,481,564.24x = 994,420,892,434.44 × 427,616,904,364.48 - Step 4: Simplify right side
720,642,481,564.24x = 425,231,183,658,178,760,933,376 - Step 5: Solve for x
x = 425,231,183,658,178,760,933,376/720,642,481,564.24 - Step 6: Final answer
x = 590,072,323,706.43
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.