Finding the Fourth Proportional to 4,592,346,540,206, 6,337,440,768,170.40 and 2,480,544,121,791.40
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Solution
The fourth proportional to 4,592,346,540,206, 6,337,440,768,170.40 and 2,480,544,121,791.40 is: 3,423,152,261,497.47
Step by Step Solution
- Step 1: Write the proportion equation
4,592,346,540,206 : 6,337,440,768,170.40 = 2,480,544,121,791.40 : x - Step 2: Convert to fraction form
4,592,346,540,206/6,337,440,768,170.40 = 2,480,544,121,791.40/x - Step 3: Cross multiply
4,592,346,540,206x = 6,337,440,768,170.40 × 2,480,544,121,791.40 - Step 4: Simplify right side
4,592,346,540,206x = 15,720,301,444,686,259,909,820,416 - Step 5: Solve for x
x = 15,720,301,444,686,259,909,820,416/4,592,346,540,206 - Step 6: Final answer
x = 3,423,152,261,497.47
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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.