Finding the Fourth Proportional to 31,544,795,486,816, 43,531,784,756,308 and 17,671,369,594,603
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Solution
The fourth proportional to 31,544,795,486,816, 43,531,784,756,308 and 17,671,369,594,603 is: 24,386,471,545,296.11
Step by Step Solution
- Step 1: Write the proportion equation
31,544,795,486,816 : 43,531,784,756,308 = 17,671,369,594,603 : x - Step 2: Convert to fraction form
31,544,795,486,816/43,531,784,756,308 = 17,671,369,594,603/x - Step 3: Cross multiply
31,544,795,486,816x = 43,531,784,756,308 × 17,671,369,594,603 - Step 4: Simplify right side
31,544,795,486,816x = 769,266,257,541,423,555,881,730,048 - Step 5: Solve for x
x = 769,266,257,541,423,555,881,730,048/31,544,795,486,816 - Step 6: Final answer
x = 24,386,471,545,296.11
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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.