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Finding the Fourth Proportional to 310,286,463,323.28, 465,429,694,984.92 and 310,286,463,323.28

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Solution

The fourth proportional to 310,286,463,323.28, 465,429,694,984.92 and 310,286,463,323.28 is: 465,429,694,984.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,286,463,323.28 : 465,429,694,984.92 = 310,286,463,323.28 : x
  2. Step 2: Convert to fraction form
    310,286,463,323.28/465,429,694,984.92 = 310,286,463,323.28/x
  3. Step 3: Cross multiply
    310,286,463,323.28x = 465,429,694,984.92 × 310,286,463,323.28
  4. Step 4: Simplify right side
    310,286,463,323.28x = 144,416,533,982,503,787,036,672
  5. Step 5: Solve for x
    x = 144,416,533,982,503,787,036,672/310,286,463,323.28
  6. Step 6: Final answer
    x = 465,429,694,984.92

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1.5x scale

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.