Finding the Fourth Proportional to 4,554,851,951,451, 6,285,876,918,295.20 and 2,499,588,679,350.20
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Solution
The fourth proportional to 4,554,851,951,451, 6,285,876,918,295.20 and 2,499,588,679,350.20 is: 3,449,531,829,405.37
Step by Step Solution
- Step 1: Write the proportion equation
4,554,851,951,451 : 6,285,876,918,295.20 = 2,499,588,679,350.20 : x - Step 2: Convert to fraction form
4,554,851,951,451/6,285,876,918,295.20 = 2,499,588,679,350.20/x - Step 3: Cross multiply
4,554,851,951,451x = 6,285,876,918,295.20 × 2,499,588,679,350.20 - Step 4: Simplify right side
4,554,851,951,451x = 15,712,106,784,759,405,862,715,392 - Step 5: Solve for x
x = 15,712,106,784,759,405,862,715,392/4,554,851,951,451 - Step 6: Final answer
x = 3,449,531,829,405.37
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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.