Finding the Fourth Proportional to 202,224,475,560, 278,963,973,460.56 and 125,037,641,769.24
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Solution
The fourth proportional to 202,224,475,560, 278,963,973,460.56 and 125,037,641,769.24 is: 172,486,526,586.32
Step by Step Solution
- Step 1: Write the proportion equation
202,224,475,560 : 278,963,973,460.56 = 125,037,641,769.24 : x - Step 2: Convert to fraction form
202,224,475,560/278,963,973,460.56 = 125,037,641,769.24/x - Step 3: Cross multiply
202,224,475,560x = 278,963,973,460.56 × 125,037,641,769.24 - Step 4: Simplify right side
202,224,475,560x = 34,880,997,380,085,277,261,824 - Step 5: Solve for x
x = 34,880,997,380,085,277,261,824/202,224,475,560 - Step 6: Final answer
x = 172,486,526,586.32
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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.