Finding the Fourth Proportional to 1,546,769,642,603.80, 2,134,654,923,639.80 and 896,616,074,783.64
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Solution
The fourth proportional to 1,546,769,642,603.80, 2,134,654,923,639.80 and 896,616,074,783.64 is: 1,237,395,579,751.33
Step by Step Solution
- Step 1: Write the proportion equation
1,546,769,642,603.80 : 2,134,654,923,639.80 = 896,616,074,783.64 : x - Step 2: Convert to fraction form
1,546,769,642,603.80/2,134,654,923,639.80 = 896,616,074,783.64/x - Step 3: Cross multiply
1,546,769,642,603.80x = 2,134,654,923,639.80 × 896,616,074,783.64 - Step 4: Simplify right side
1,546,769,642,603.80x = 1,913,965,918,651,488,197,935,104 - Step 5: Solve for x
x = 1,913,965,918,651,488,197,935,104/1,546,769,642,603.80 - Step 6: Final answer
x = 1,237,395,579,751.33
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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.