Finding the Fourth Proportional to 4,180,830,777,563.20, 5,768,780,569,462 and 2,328,892,844,823.20
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Solution
The fourth proportional to 4,180,830,777,563.20, 5,768,780,569,462 and 2,328,892,844,823.20 is: 3,213,445,486,402.99
Step by Step Solution
- Step 1: Write the proportion equation
4,180,830,777,563.20 : 5,768,780,569,462 = 2,328,892,844,823.20 : x - Step 2: Convert to fraction form
4,180,830,777,563.20/5,768,780,569,462 = 2,328,892,844,823.20/x - Step 3: Cross multiply
4,180,830,777,563.20x = 5,768,780,569,462 × 2,328,892,844,823.20 - Step 4: Simplify right side
4,180,830,777,563.20x = 13,434,871,791,575,157,344,043,008 - Step 5: Solve for x
x = 13,434,871,791,575,157,344,043,008/4,180,830,777,563.20 - Step 6: Final answer
x = 3,213,445,486,402.99
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1.5x scale
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.