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Finding the Fourth Proportional to 391,224,200.40, 586,836,300.60 and 293,651,632.80

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Solution

The fourth proportional to 391,224,200.40, 586,836,300.60 and 293,651,632.80 is: 440,477,449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,224,200.40 : 586,836,300.60 = 293,651,632.80 : x
  2. Step 2: Convert to fraction form
    391,224,200.40/586,836,300.60 = 293,651,632.80/x
  3. Step 3: Cross multiply
    391,224,200.40x = 586,836,300.60 × 293,651,632.80
  4. Step 4: Simplify right side
    391,224,200.40x = 172,325,437,857,501,632
  5. Step 5: Solve for x
    x = 172,325,437,857,501,632/391,224,200.40
  6. Step 6: Final answer
    x = 440,477,449.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.