Finding the Fourth Proportional to 1,093,866,551.68, 1,509,535,914.96 and 598,829,260.18
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Solution
The fourth proportional to 1,093,866,551.68, 1,509,535,914.96 and 598,829,260.18 is: 826,384,419.36
Step by Step Solution
- Step 1: Write the proportion equation
1,093,866,551.68 : 1,509,535,914.96 = 598,829,260.18 : x - Step 2: Convert to fraction form
1,093,866,551.68/1,509,535,914.96 = 598,829,260.18/x - Step 3: Cross multiply
1,093,866,551.68x = 1,509,535,914.96 × 598,829,260.18 - Step 4: Simplify right side
1,093,866,551.68x = 903,954,275,170,636,160 - Step 5: Solve for x
x = 903,954,275,170,636,160/1,093,866,551.68 - Step 6: Final answer
x = 826,384,419.36
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.