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Finding the Fourth Proportional to 488,940,969.70, 733,411,454.55 and 294,752,428.30

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Solution

The fourth proportional to 488,940,969.70, 733,411,454.55 and 294,752,428.30 is: 442,128,642.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,940,969.70 : 733,411,454.55 = 294,752,428.30 : x
  2. Step 2: Convert to fraction form
    488,940,969.70/733,411,454.55 = 294,752,428.30/x
  3. Step 3: Cross multiply
    488,940,969.70x = 733,411,454.55 × 294,752,428.30
  4. Step 4: Simplify right side
    488,940,969.70x = 216,174,807,171,647,584
  5. Step 5: Solve for x
    x = 216,174,807,171,647,584/488,940,969.70
  6. Step 6: Final answer
    x = 442,128,642.45

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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.