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Finding the Fourth Proportional to 921,496,537.80, 1,382,244,806.70 and 921,496,537.80

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Solution

The fourth proportional to 921,496,537.80, 1,382,244,806.70 and 921,496,537.80 is: 1,382,244,806.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,496,537.80 : 1,382,244,806.70 = 921,496,537.80 : x
  2. Step 2: Convert to fraction form
    921,496,537.80/1,382,244,806.70 = 921,496,537.80/x
  3. Step 3: Cross multiply
    921,496,537.80x = 1,382,244,806.70 × 921,496,537.80
  4. Step 4: Simplify right side
    921,496,537.80x = 1,273,733,803,766,080,256
  5. Step 5: Solve for x
    x = 1,273,733,803,766,080,256/921,496,537.80
  6. Step 6: Final answer
    x = 1,382,244,806.70

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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.