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Finding the Fourth Proportional to 142,574,484,648.60, 213,861,726,972.90 and 142,574,484,648.60

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Solution

The fourth proportional to 142,574,484,648.60, 213,861,726,972.90 and 142,574,484,648.60 is: 213,861,726,972.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,574,484,648.60 : 213,861,726,972.90 = 142,574,484,648.60 : x
  2. Step 2: Convert to fraction form
    142,574,484,648.60/213,861,726,972.90 = 142,574,484,648.60/x
  3. Step 3: Cross multiply
    142,574,484,648.60x = 213,861,726,972.90 × 142,574,484,648.60
  4. Step 4: Simplify right side
    142,574,484,648.60x = 30,491,225,509,220,814,159,872
  5. Step 5: Solve for x
    x = 30,491,225,509,220,814,159,872/142,574,484,648.60
  6. Step 6: Final answer
    x = 213,861,726,972.90

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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.