Finding the Fourth Proportional to 34,134,676,435,818, 47,105,888,344,012 and 18,526,965,660,602
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Solution
The fourth proportional to 34,134,676,435,818, 47,105,888,344,012 and 18,526,965,660,602 is: 25,567,231,533,675.68
Step by Step Solution
- Step 1: Write the proportion equation
34,134,676,435,818 : 47,105,888,344,012 = 18,526,965,660,602 : x - Step 2: Convert to fraction form
34,134,676,435,818/47,105,888,344,012 = 18,526,965,660,602/x - Step 3: Cross multiply
34,134,676,435,818x = 47,105,888,344,012 × 18,526,965,660,602 - Step 4: Simplify right side
34,134,676,435,818x = 872,729,175,761,662,272,732,135,424 - Step 5: Solve for x
x = 872,729,175,761,662,272,732,135,424/34,134,676,435,818 - Step 6: Final answer
x = 25,567,231,533,675.68
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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.