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Finding the Fourth Proportional to 463,798,167.40, 695,697,251.10 and 441,123,351.40

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Solution

The fourth proportional to 463,798,167.40, 695,697,251.10 and 441,123,351.40 is: 661,685,027.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,798,167.40 : 695,697,251.10 = 441,123,351.40 : x
  2. Step 2: Convert to fraction form
    463,798,167.40/695,697,251.10 = 441,123,351.40/x
  3. Step 3: Cross multiply
    463,798,167.40x = 695,697,251.10 × 441,123,351.40
  4. Step 4: Simplify right side
    463,798,167.40x = 306,888,302,964,999,360
  5. Step 5: Solve for x
    x = 306,888,302,964,999,360/463,798,167.40
  6. Step 6: Final answer
    x = 661,685,027.10

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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.