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Finding the Fourth Proportional to 142,574,485,509.60, 213,861,728,264.40 and 142,574,485,509.60

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Solution

The fourth proportional to 142,574,485,509.60, 213,861,728,264.40 and 142,574,485,509.60 is: 213,861,728,264.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,574,485,509.60 : 213,861,728,264.40 = 142,574,485,509.60 : x
  2. Step 2: Convert to fraction form
    142,574,485,509.60/213,861,728,264.40 = 142,574,485,509.60/x
  3. Step 3: Cross multiply
    142,574,485,509.60x = 213,861,728,264.40 × 142,574,485,509.60
  4. Step 4: Simplify right side
    142,574,485,509.60x = 30,491,225,877,490,712,969,216
  5. Step 5: Solve for x
    x = 30,491,225,877,490,712,969,216/142,574,485,509.60
  6. Step 6: Final answer
    x = 213,861,728,264.40

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