Finding the Fourth Proportional to 30,340,979,184,594, 41,863,374,931,204 and 17,171,970,498,114
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Solution
The fourth proportional to 30,340,979,184,594, 41,863,374,931,204 and 17,171,970,498,114 is: 23,693,257,719,089.66
Step by Step Solution
- Step 1: Write the proportion equation
30,340,979,184,594 : 41,863,374,931,204 = 17,171,970,498,114 : x - Step 2: Convert to fraction form
30,340,979,184,594/41,863,374,931,204 = 17,171,970,498,114/x - Step 3: Cross multiply
30,340,979,184,594x = 41,863,374,931,204 × 17,171,970,498,114 - Step 4: Simplify right side
30,340,979,184,594x = 718,876,639,270,120,327,980,515,328 - Step 5: Solve for x
x = 718,876,639,270,120,327,980,515,328/30,340,979,184,594 - Step 6: Final answer
x = 23,693,257,719,089.66
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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.