Finding the Fourth Proportional to 497,664,257.80, 746,496,386.70 and 497,664,257.80
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Solution
The fourth proportional to 497,664,257.80, 746,496,386.70 and 497,664,257.80 is: 746,496,386.70
Step by Step Solution
- Step 1: Write the proportion equation
497,664,257.80 : 746,496,386.70 = 497,664,257.80 : x - Step 2: Convert to fraction form
497,664,257.80/746,496,386.70 = 497,664,257.80/x - Step 3: Cross multiply
497,664,257.80x = 746,496,386.70 × 497,664,257.80 - Step 4: Simplify right side
497,664,257.80x = 371,504,570,237,437,312 - Step 5: Solve for x
x = 371,504,570,237,437,312/497,664,257.80 - Step 6: Final answer
x = 746,496,386.70
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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.