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Finding the Fourth Proportional to 492,078,731.70, 738,118,097.55 and 492,078,731.70

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Solution

The fourth proportional to 492,078,731.70, 738,118,097.55 and 492,078,731.70 is: 738,118,097.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,078,731.70 : 738,118,097.55 = 492,078,731.70 : x
  2. Step 2: Convert to fraction form
    492,078,731.70/738,118,097.55 = 492,078,731.70/x
  3. Step 3: Cross multiply
    492,078,731.70x = 738,118,097.55 × 492,078,731.70
  4. Step 4: Simplify right side
    492,078,731.70x = 363,212,217,287,220,864
  5. Step 5: Solve for x
    x = 363,212,217,287,220,864/492,078,731.70
  6. Step 6: Final answer
    x = 738,118,097.55

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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.