Finding the Fourth Proportional to 3,286,461,118,112.20, 4,533,432,058,710.80 and 2,049,719,418,453
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Solution
The fourth proportional to 3,286,461,118,112.20, 4,533,432,058,710.80 and 2,049,719,418,453 is: 2,827,437,595,949.57
Step by Step Solution
- Step 1: Write the proportion equation
3,286,461,118,112.20 : 4,533,432,058,710.80 = 2,049,719,418,453 : x - Step 2: Convert to fraction form
3,286,461,118,112.20/4,533,432,058,710.80 = 2,049,719,418,453/x - Step 3: Cross multiply
3,286,461,118,112.20x = 4,533,432,058,710.80 × 2,049,719,418,453 - Step 4: Simplify right side
3,286,461,118,112.20x = 9,292,263,722,976,886,971,695,104 - Step 5: Solve for x
x = 9,292,263,722,976,886,971,695,104/3,286,461,118,112.20 - Step 6: Final answer
x = 2,827,437,595,949.57
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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.