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Finding the Fourth Proportional to 411,642,000.40, 617,463,000.60 and 207,568,656.40

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Solution

The fourth proportional to 411,642,000.40, 617,463,000.60 and 207,568,656.40 is: 311,352,984.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,642,000.40 : 617,463,000.60 = 207,568,656.40 : x
  2. Step 2: Convert to fraction form
    411,642,000.40/617,463,000.60 = 207,568,656.40/x
  3. Step 3: Cross multiply
    411,642,000.40x = 617,463,000.60 × 207,568,656.40
  4. Step 4: Simplify right side
    411,642,000.40x = 128,165,965,411,254,400
  5. Step 5: Solve for x
    x = 128,165,965,411,254,400/411,642,000.40
  6. Step 6: Final answer
    x = 311,352,984.60

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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.