Finding the Fourth Proportional to 202,224,475,556.98, 278,963,973,456.42 and 125,037,641,766.22
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Solution
The fourth proportional to 202,224,475,556.98, 278,963,973,456.42 and 125,037,641,766.22 is: 172,486,526,582.17
Step by Step Solution
- Step 1: Write the proportion equation
202,224,475,556.98 : 278,963,973,456.42 = 125,037,641,766.22 : x - Step 2: Convert to fraction form
202,224,475,556.98/278,963,973,456.42 = 125,037,641,766.22/x - Step 3: Cross multiply
202,224,475,556.98x = 278,963,973,456.42 × 125,037,641,766.22 - Step 4: Simplify right side
202,224,475,556.98x = 34,880,997,378,725,148,360,704 - Step 5: Solve for x
x = 34,880,997,378,725,148,360,704/202,224,475,556.98 - Step 6: Final answer
x = 172,486,526,582.17
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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.