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Finding the Fourth Proportional to 142,574,491,207.60, 213,861,736,811.40 and 142,574,491,207.60

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Solution

The fourth proportional to 142,574,491,207.60, 213,861,736,811.40 and 142,574,491,207.60 is: 213,861,736,811.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,574,491,207.60 : 213,861,736,811.40 = 142,574,491,207.60 : x
  2. Step 2: Convert to fraction form
    142,574,491,207.60/213,861,736,811.40 = 142,574,491,207.60/x
  3. Step 3: Cross multiply
    142,574,491,207.60x = 213,861,736,811.40 × 142,574,491,207.60
  4. Step 4: Simplify right side
    142,574,491,207.60x = 30,491,228,314,659,016,671,232
  5. Step 5: Solve for x
    x = 30,491,228,314,659,016,671,232/142,574,491,207.60
  6. Step 6: Final answer
    x = 213,861,736,811.40

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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.