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Finding the Fourth Proportional to 645,150,464.80, 966,382,004.40 and 645,150,464.80

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Solution

The fourth proportional to 645,150,464.80, 966,382,004.40 and 645,150,464.80 is: 966,382,004.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,150,464.80 : 966,382,004.40 = 645,150,464.80 : x
  2. Step 2: Convert to fraction form
    645,150,464.80/966,382,004.40 = 645,150,464.80/x
  3. Step 3: Cross multiply
    645,150,464.80x = 966,382,004.40 × 645,150,464.80
  4. Step 4: Simplify right side
    645,150,464.80x = 623,461,799,313,015,552
  5. Step 5: Solve for x
    x = 623,461,799,313,015,552/645,150,464.80
  6. Step 6: Final answer
    x = 966,382,004.40

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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.