Finding the Fourth Proportional to 34,134,676,435,820, 47,105,888,344,014 and 18,526,965,660,604
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Solution
The fourth proportional to 34,134,676,435,820, 47,105,888,344,014 and 18,526,965,660,604 is: 25,567,231,533,678.04
Step by Step Solution
- Step 1: Write the proportion equation
34,134,676,435,820 : 47,105,888,344,014 = 18,526,965,660,604 : x - Step 2: Convert to fraction form
34,134,676,435,820/47,105,888,344,014 = 18,526,965,660,604/x - Step 3: Cross multiply
34,134,676,435,820x = 47,105,888,344,014 × 18,526,965,660,604 - Step 4: Simplify right side
34,134,676,435,820x = 872,729,175,761,793,664,371,654,656 - Step 5: Solve for x
x = 872,729,175,761,793,664,371,654,656/34,134,676,435,820 - Step 6: Final answer
x = 25,567,231,533,678.04
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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.