Finding the Fourth Proportional to 473,568,953,435.40, 710,395,189,933.70 and 133,611,106,409.07
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Solution
The fourth proportional to 473,568,953,435.40, 710,395,189,933.70 and 133,611,106,409.07 is: 200,428,441,573.65
Step by Step Solution
- Step 1: Write the proportion equation
473,568,953,435.40 : 710,395,189,933.70 = 133,611,106,409.07 : x - Step 2: Convert to fraction form
473,568,953,435.40/710,395,189,933.70 = 133,611,106,409.07/x - Step 3: Cross multiply
473,568,953,435.40x = 710,395,189,933.70 × 133,611,106,409.07 - Step 4: Simplify right side
473,568,953,435.40x = 94,916,687,314,723,086,008,320 - Step 5: Solve for x
x = 94,916,687,314,723,086,008,320/473,568,953,435.40 - Step 6: Final answer
x = 200,428,441,573.65
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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.