Finding the Fourth Proportional to 1,364,768,946,157.40, 1,883,440,348,390.80 and 755,780,258,119.82
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Solution
The fourth proportional to 1,364,768,946,157.40, 1,883,440,348,390.80 and 755,780,258,119.82 is: 1,043,009,541,408.42
Step by Step Solution
- Step 1: Write the proportion equation
1,364,768,946,157.40 : 1,883,440,348,390.80 = 755,780,258,119.82 : x - Step 2: Convert to fraction form
1,364,768,946,157.40/1,883,440,348,390.80 = 755,780,258,119.82/x - Step 3: Cross multiply
1,364,768,946,157.40x = 1,883,440,348,390.80 × 755,780,258,119.82 - Step 4: Simplify right side
1,364,768,946,157.40x = 1,423,467,032,660,082,524,422,144 - Step 5: Solve for x
x = 1,423,467,032,660,082,524,422,144/1,364,768,946,157.40 - Step 6: Final answer
x = 1,043,009,541,408.42
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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.