Finding the Fourth Proportional to 25,778,391,937,280, 35,574,325,366,956 and 14,667,040,592,967
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Solution
The fourth proportional to 25,778,391,937,280, 35,574,325,366,956 and 14,667,040,592,967 is: 20,240,598,230,256.16
Step by Step Solution
- Step 1: Write the proportion equation
25,778,391,937,280 : 35,574,325,366,956 = 14,667,040,592,967 : x - Step 2: Convert to fraction form
25,778,391,937,280/35,574,325,366,956 = 14,667,040,592,967/x - Step 3: Cross multiply
25,778,391,937,280x = 35,574,325,366,956 × 14,667,040,592,967 - Step 4: Simplify right side
25,778,391,937,280x = 521,770,074,224,559,295,626,739,712 - Step 5: Solve for x
x = 521,770,074,224,559,295,626,739,712/25,778,391,937,280 - Step 6: Final answer
x = 20,240,598,230,256.16
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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.