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Finding the Fourth Proportional to 15,523,342,972.65, 23,285,014,458.98 and 15,523,342,972.65

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Solution

The fourth proportional to 15,523,342,972.65, 23,285,014,458.98 and 15,523,342,972.65 is: 23,285,014,458.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,523,342,972.65 : 23,285,014,458.98 = 15,523,342,972.65 : x
  2. Step 2: Convert to fraction form
    15,523,342,972.65/23,285,014,458.98 = 15,523,342,972.65/x
  3. Step 3: Cross multiply
    15,523,342,972.65x = 23,285,014,458.98 × 15,523,342,972.65
  4. Step 4: Simplify right side
    15,523,342,972.65x = 361,461,265,569,783,152,640
  5. Step 5: Solve for x
    x = 361,461,265,569,783,152,640/15,523,342,972.65
  6. Step 6: Final answer
    x = 23,285,014,458.98

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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.