Finding the Fourth Proportional to 103,430,617,892.21, 142,737,774,489.58 and 60,023,542,029.08
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Solution
The fourth proportional to 103,430,617,892.21, 142,737,774,489.58 and 60,023,542,029.08 is: 82,834,531,793.48
Step by Step Solution
- Step 1: Write the proportion equation
103,430,617,892.21 : 142,737,774,489.58 = 60,023,542,029.08 : x - Step 2: Convert to fraction form
103,430,617,892.21/142,737,774,489.58 = 60,023,542,029.08/x - Step 3: Cross multiply
103,430,617,892.21x = 142,737,774,489.58 × 60,023,542,029.08 - Step 4: Simplify right side
103,430,617,892.21x = 8,567,626,806,211,932,848,128 - Step 5: Solve for x
x = 8,567,626,806,211,932,848,128/103,430,617,892.21 - Step 6: Final answer
x = 82,834,531,793.48
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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.