Finding the Fourth Proportional to 46,403,412,307.21, 63,986,035,165.19 and 31,340,503,344.97
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Solution
The fourth proportional to 46,403,412,307.21, 63,986,035,165.19 and 31,340,503,344.97 is: 43,215,669,913.45
Step by Step Solution
- Step 1: Write the proportion equation
46,403,412,307.21 : 63,986,035,165.19 = 31,340,503,344.97 : x - Step 2: Convert to fraction form
46,403,412,307.21/63,986,035,165.19 = 31,340,503,344.97/x - Step 3: Cross multiply
46,403,412,307.21x = 63,986,035,165.19 × 31,340,503,344.97 - Step 4: Simplify right side
46,403,412,307.21x = 2,005,354,549,126,005,522,432 - Step 5: Solve for x
x = 2,005,354,549,126,005,522,432/46,403,412,307.21 - Step 6: Final answer
x = 43,215,669,913.45
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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.