Finding the Fourth Proportional to 1,601,237,243,481.80, 2,209,750,547,800.60 and 942,089,330,815.20
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Solution
The fourth proportional to 1,601,237,243,481.80, 2,209,750,547,800.60 and 942,089,330,815.20 is: 1,300,108,664,921.68
Step by Step Solution
- Step 1: Write the proportion equation
1,601,237,243,481.80 : 2,209,750,547,800.60 = 942,089,330,815.20 : x - Step 2: Convert to fraction form
1,601,237,243,481.80/2,209,750,547,800.60 = 942,089,330,815.20/x - Step 3: Cross multiply
1,601,237,243,481.80x = 2,209,750,547,800.60 × 942,089,330,815.20 - Step 4: Simplify right side
1,601,237,243,481.80x = 2,081,782,414,845,988,850,106,368 - Step 5: Solve for x
x = 2,081,782,414,845,988,850,106,368/1,601,237,243,481.80 - Step 6: Final answer
x = 1,300,108,664,921.68
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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.