Finding the Fourth Proportional to 4,554,851,951,450, 6,285,876,918,293.50 and 2,499,588,679,349.10
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Solution
The fourth proportional to 4,554,851,951,450, 6,285,876,918,293.50 and 2,499,588,679,349.10 is: 3,449,531,829,403.68
Step by Step Solution
- Step 1: Write the proportion equation
4,554,851,951,450 : 6,285,876,918,293.50 = 2,499,588,679,349.10 : x - Step 2: Convert to fraction form
4,554,851,951,450/6,285,876,918,293.50 = 2,499,588,679,349.10/x - Step 3: Cross multiply
4,554,851,951,450x = 6,285,876,918,293.50 × 2,499,588,679,349.10 - Step 4: Simplify right side
4,554,851,951,450x = 15,712,106,784,748,241,095,229,440 - Step 5: Solve for x
x = 15,712,106,784,748,241,095,229,440/4,554,851,951,450 - Step 6: Final answer
x = 3,449,531,829,403.68
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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.