Finding the Fourth Proportional to 2,072,801,001,683.10, 3,109,625,560,445.70 and 712,781,086,638.15
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Solution
The fourth proportional to 2,072,801,001,683.10, 3,109,625,560,445.70 and 712,781,086,638.15 is: 1,069,317,452,187.88
Step by Step Solution
- Step 1: Write the proportion equation
2,072,801,001,683.10 : 3,109,625,560,445.70 = 712,781,086,638.15 : x - Step 2: Convert to fraction form
2,072,801,001,683.10/3,109,625,560,445.70 = 712,781,086,638.15/x - Step 3: Cross multiply
2,072,801,001,683.10x = 3,109,625,560,445.70 × 712,781,086,638.15 - Step 4: Simplify right side
2,072,801,001,683.10x = 2,216,482,286,012,252,584,673,280 - Step 5: Solve for x
x = 2,216,482,286,012,252,584,673,280/2,072,801,001,683.10 - Step 6: Final answer
x = 1,069,317,452,187.88
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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.