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Finding the Fourth Proportional to 442,865,362.65, 664,298,043.98 and 442,865,362.65

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Solution

The fourth proportional to 442,865,362.65, 664,298,043.98 and 442,865,362.65 is: 664,298,043.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,865,362.65 : 664,298,043.98 = 442,865,362.65 : x
  2. Step 2: Convert to fraction form
    442,865,362.65/664,298,043.98 = 442,865,362.65/x
  3. Step 3: Cross multiply
    442,865,362.65x = 664,298,043.98 × 442,865,362.65
  4. Step 4: Simplify right side
    442,865,362.65x = 294,194,594,152,674,048
  5. Step 5: Solve for x
    x = 294,194,594,152,674,048/442,865,362.65
  6. Step 6: Final answer
    x = 664,298,043.98

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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.