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Finding the Fourth Proportional to 624,032,005.20, 936,048,007.80 and 469,843,256.40

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Solution

The fourth proportional to 624,032,005.20, 936,048,007.80 and 469,843,256.40 is: 704,764,884.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,032,005.20 : 936,048,007.80 = 469,843,256.40 : x
  2. Step 2: Convert to fraction form
    624,032,005.20/936,048,007.80 = 469,843,256.40/x
  3. Step 3: Cross multiply
    624,032,005.20x = 936,048,007.80 × 469,843,256.40
  4. Step 4: Simplify right side
    624,032,005.20x = 439,795,844,131,484,544
  5. Step 5: Solve for x
    x = 439,795,844,131,484,544/624,032,005.20
  6. Step 6: Final answer
    x = 704,764,884.60

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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.