Finding the Fourth Proportional to 24,349,900,019,606, 33,602,994,869,924 and 14,338,829,078,740
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Solution
The fourth proportional to 24,349,900,019,606, 33,602,994,869,924 and 14,338,829,078,740 is: 19,787,662,355,314
Step by Step Solution
- Step 1: Write the proportion equation
24,349,900,019,606 : 33,602,994,869,924 = 14,338,829,078,740 : x - Step 2: Convert to fraction form
24,349,900,019,606/33,602,994,869,924 = 14,338,829,078,740/x - Step 3: Cross multiply
24,349,900,019,606x = 33,602,994,869,924 × 14,338,829,078,740 - Step 4: Simplify right side
24,349,900,019,606x = 481,827,599,973,617,278,583,308,288 - Step 5: Solve for x
x = 481,827,599,973,617,278,583,308,288/24,349,900,019,606 - Step 6: Final answer
x = 19,787,662,355,314
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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.