Finding the Fourth Proportional to 46,740,780,346,540, 64,475,478,168,400 and 29,151,565,062,496
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Solution
The fourth proportional to 46,740,780,346,540, 64,475,478,168,400 and 29,151,565,062,496 is: 40,212,445,809,129.24
Step by Step Solution
- Step 1: Write the proportion equation
46,740,780,346,540 : 64,475,478,168,400 = 29,151,565,062,496 : x - Step 2: Convert to fraction form
46,740,780,346,540/64,475,478,168,400 = 29,151,565,062,496/x - Step 3: Cross multiply
46,740,780,346,540x = 64,475,478,168,400 × 29,151,565,062,496 - Step 4: Simplify right side
46,740,780,346,540x = 1,879,561,096,761,652,988,923,084,800 - Step 5: Solve for x
x = 1,879,561,096,761,652,988,923,084,800/46,740,780,346,540 - Step 6: Final answer
x = 40,212,445,809,129.24
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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.