Finding the Fourth Proportional to 1,685,902,765,910.80, 2,528,555,218,709 and 766,756,813,877.75
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Solution
The fourth proportional to 1,685,902,765,910.80, 2,528,555,218,709 and 766,756,813,877.75 is: 1,149,999,265,920.80
Step by Step Solution
- Step 1: Write the proportion equation
1,685,902,765,910.80 : 2,528,555,218,709 = 766,756,813,877.75 : x - Step 2: Convert to fraction form
1,685,902,765,910.80/2,528,555,218,709 = 766,756,813,877.75/x - Step 3: Cross multiply
1,685,902,765,910.80x = 2,528,555,218,709 × 766,756,813,877.75 - Step 4: Simplify right side
1,685,902,765,910.80x = 1,938,786,943,211,270,255,411,200 - Step 5: Solve for x
x = 1,938,786,943,211,270,255,411,200/1,685,902,765,910.80 - Step 6: Final answer
x = 1,149,999,265,920.80
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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.