Finding the Fourth Proportional to 46,408,338,164,293, 64,043,705,772,691 and 25,314,592,291,133
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Solution
The fourth proportional to 46,408,338,164,293, 64,043,705,772,691 and 25,314,592,291,133 is: 34,934,245,969,108
Step by Step Solution
- Step 1: Write the proportion equation
46,408,338,164,293 : 64,043,705,772,691 = 25,314,592,291,133 : x - Step 2: Convert to fraction form
46,408,338,164,293/64,043,705,772,691 = 25,314,592,291,133/x - Step 3: Cross multiply
46,408,338,164,293x = 64,043,705,772,691 × 25,314,592,291,133 - Step 4: Simplify right side
46,408,338,164,293x = 1,621,240,300,448,953,733,197,332,480 - Step 5: Solve for x
x = 1,621,240,300,448,953,733,197,332,480/46,408,338,164,293 - Step 6: Final answer
x = 34,934,245,969,108
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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.