Finding the Fourth Proportional to 1,364,768,946,238.40, 1,883,440,348,502.60 and 755,780,258,201.20
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Solution
The fourth proportional to 1,364,768,946,238.40, 1,883,440,348,502.60 and 755,780,258,201.20 is: 1,043,009,541,520.74
Step by Step Solution
- Step 1: Write the proportion equation
1,364,768,946,238.40 : 1,883,440,348,502.60 = 755,780,258,201.20 : x - Step 2: Convert to fraction form
1,364,768,946,238.40/1,883,440,348,502.60 = 755,780,258,201.20/x - Step 3: Cross multiply
1,364,768,946,238.40x = 1,883,440,348,502.60 × 755,780,258,201.20 - Step 4: Simplify right side
1,364,768,946,238.40x = 1,423,467,032,897,852,987,670,528 - Step 5: Solve for x
x = 1,423,467,032,897,852,987,670,528/1,364,768,946,238.40 - Step 6: Final answer
x = 1,043,009,541,520.74
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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.