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Finding the Fourth Proportional to 484,922,406.40, 727,383,609.60 and 484,922,406.40

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Solution

The fourth proportional to 484,922,406.40, 727,383,609.60 and 484,922,406.40 is: 727,383,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,922,406.40 : 727,383,609.60 = 484,922,406.40 : x
  2. Step 2: Convert to fraction form
    484,922,406.40/727,383,609.60 = 484,922,406.40/x
  3. Step 3: Cross multiply
    484,922,406.40x = 727,383,609.60 × 484,922,406.40
  4. Step 4: Simplify right side
    484,922,406.40x = 352,724,610,343,150,144
  5. Step 5: Solve for x
    x = 352,724,610,343,150,144/484,922,406.40
  6. Step 6: Final answer
    x = 727,383,609.60

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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.