Finding the Fourth Proportional to 4,230,432,378.40, 6,345,648,567.60 and 4,157,872,967.20
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Solution
The fourth proportional to 4,230,432,378.40, 6,345,648,567.60 and 4,157,872,967.20 is: 6,236,809,450.80
Step by Step Solution
- Step 1: Write the proportion equation
4,230,432,378.40 : 6,345,648,567.60 = 4,157,872,967.20 : x - Step 2: Convert to fraction form
4,230,432,378.40/6,345,648,567.60 = 4,157,872,967.20/x - Step 3: Cross multiply
4,230,432,378.40x = 6,345,648,567.60 × 4,157,872,967.20 - Step 4: Simplify right side
4,230,432,378.40x = 26,384,400,638,575,443,968 - Step 5: Solve for x
x = 26,384,400,638,575,443,968/4,230,432,378.40 - Step 6: Final answer
x = 6,236,809,450.80
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.