Finding the Fourth Proportional to 31,544,795,486,814, 43,531,784,756,304 and 17,671,369,594,599
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Solution
The fourth proportional to 31,544,795,486,814, 43,531,784,756,304 and 17,671,369,594,599 is: 24,386,471,545,289.90
Step by Step Solution
- Step 1: Write the proportion equation
31,544,795,486,814 : 43,531,784,756,304 = 17,671,369,594,599 : x - Step 2: Convert to fraction form
31,544,795,486,814/43,531,784,756,304 = 17,671,369,594,599/x - Step 3: Cross multiply
31,544,795,486,814x = 43,531,784,756,304 × 17,671,369,594,599 - Step 4: Simplify right side
31,544,795,486,814x = 769,266,257,541,178,777,105,596,416 - Step 5: Solve for x
x = 769,266,257,541,178,777,105,596,416/31,544,795,486,814 - Step 6: Final answer
x = 24,386,471,545,289.90
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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.