Finding the Fourth Proportional to 424,134,217,811.20, 636,201,326,716.80 and 424,134,217,811.20
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Solution
The fourth proportional to 424,134,217,811.20, 636,201,326,716.80 and 424,134,217,811.20 is: 636,201,326,716.80
Step by Step Solution
- Step 1: Write the proportion equation
424,134,217,811.20 : 636,201,326,716.80 = 424,134,217,811.20 : x - Step 2: Convert to fraction form
424,134,217,811.20/636,201,326,716.80 = 424,134,217,811.20/x - Step 3: Cross multiply
424,134,217,811.20x = 636,201,326,716.80 × 424,134,217,811.20 - Step 4: Simplify right side
424,134,217,811.20x = 269,834,752,077,477,703,581,696 - Step 5: Solve for x
x = 269,834,752,077,477,703,581,696/424,134,217,811.20 - Step 6: Final answer
x = 636,201,326,716.80
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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.