Finding the Fourth Proportional to 5,682,752,385.66, 7,842,249,034.77 and 3,142,606,233.99
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Solution
The fourth proportional to 5,682,752,385.66, 7,842,249,034.77 and 3,142,606,233.99 is: 4,336,824,663.94
Step by Step Solution
- Step 1: Write the proportion equation
5,682,752,385.66 : 7,842,249,034.77 = 3,142,606,233.99 : x - Step 2: Convert to fraction form
5,682,752,385.66/7,842,249,034.77 = 3,142,606,233.99/x - Step 3: Cross multiply
5,682,752,385.66x = 7,842,249,034.77 × 3,142,606,233.99 - Step 4: Simplify right side
5,682,752,385.66x = 24,645,100,705,170,259,968 - Step 5: Solve for x
x = 24,645,100,705,170,259,968/5,682,752,385.66 - Step 6: Final answer
x = 4,336,824,663.94
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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.