Finding the Fourth Proportional to 1,546,769,642,596.50, 2,134,654,923,629.40 and 896,616,074,776.26
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Solution
The fourth proportional to 1,546,769,642,596.50, 2,134,654,923,629.40 and 896,616,074,776.26 is: 1,237,395,579,740.96
Step by Step Solution
- Step 1: Write the proportion equation
1,546,769,642,596.50 : 2,134,654,923,629.40 = 896,616,074,776.26 : x - Step 2: Convert to fraction form
1,546,769,642,596.50/2,134,654,923,629.40 = 896,616,074,776.26/x - Step 3: Cross multiply
1,546,769,642,596.50x = 2,134,654,923,629.40 × 896,616,074,776.26 - Step 4: Simplify right side
1,546,769,642,596.50x = 1,913,965,918,626,409,615,458,304 - Step 5: Solve for x
x = 1,913,965,918,626,409,615,458,304/1,546,769,642,596.50 - Step 6: Final answer
x = 1,237,395,579,740.96
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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.