Finding the Fourth Proportional to 173,844,437,918.40, 260,766,656,877.60 and 106,898,177,419.20
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Solution
The fourth proportional to 173,844,437,918.40, 260,766,656,877.60 and 106,898,177,419.20 is: 160,347,266,128.80
Step by Step Solution
- Step 1: Write the proportion equation
173,844,437,918.40 : 260,766,656,877.60 = 106,898,177,419.20 : x - Step 2: Convert to fraction form
173,844,437,918.40/260,766,656,877.60 = 106,898,177,419.20/x - Step 3: Cross multiply
173,844,437,918.40x = 260,766,656,877.60 × 106,898,177,419.20 - Step 4: Simplify right side
173,844,437,918.40x = 27,875,480,351,913,336,111,104 - Step 5: Solve for x
x = 27,875,480,351,913,336,111,104/173,844,437,918.40 - Step 6: Final answer
x = 160,347,266,128.80
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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.