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Finding the Fourth Proportional to 624,032,006.60, 936,048,009.90 and 442,633,478.60

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Solution

The fourth proportional to 624,032,006.60, 936,048,009.90 and 442,633,478.60 is: 663,950,217.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,032,006.60 : 936,048,009.90 = 442,633,478.60 : x
  2. Step 2: Convert to fraction form
    624,032,006.60/936,048,009.90 = 442,633,478.60/x
  3. Step 3: Cross multiply
    624,032,006.60x = 936,048,009.90 × 442,633,478.60
  4. Step 4: Simplify right side
    624,032,006.60x = 414,326,186,758,644,224
  5. Step 5: Solve for x
    x = 414,326,186,758,644,224/624,032,006.60
  6. Step 6: Final answer
    x = 663,950,217.90

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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.