Finding the Fourth Proportional to 686,553,231,207.09, 1,029,829,846,810.60 and 209,018,736,465.70
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Solution
The fourth proportional to 686,553,231,207.09, 1,029,829,846,810.60 and 209,018,736,465.70 is: 313,528,104,698.54
Step by Step Solution
- Step 1: Write the proportion equation
686,553,231,207.09 : 1,029,829,846,810.60 = 209,018,736,465.70 : x - Step 2: Convert to fraction form
686,553,231,207.09/1,029,829,846,810.60 = 209,018,736,465.70/x - Step 3: Cross multiply
686,553,231,207.09x = 1,029,829,846,810.60 × 209,018,736,465.70 - Step 4: Simplify right side
686,553,231,207.09x = 215,253,733,355,017,021,161,472 - Step 5: Solve for x
x = 215,253,733,355,017,021,161,472/686,553,231,207.09 - Step 6: Final answer
x = 313,528,104,698.54
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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.