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Finding the Fourth Proportional to 484,509,712.80, 726,764,569.20 and 447,096,266.40

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Solution

The fourth proportional to 484,509,712.80, 726,764,569.20 and 447,096,266.40 is: 670,644,399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,509,712.80 : 726,764,569.20 = 447,096,266.40 : x
  2. Step 2: Convert to fraction form
    484,509,712.80/726,764,569.20 = 447,096,266.40/x
  3. Step 3: Cross multiply
    484,509,712.80x = 726,764,569.20 × 447,096,266.40
  4. Step 4: Simplify right side
    484,509,712.80x = 324,933,725,441,124,416
  5. Step 5: Solve for x
    x = 324,933,725,441,124,416/484,509,712.80
  6. Step 6: Final answer
    x = 670,644,399.60

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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.