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Finding the Fourth Proportional to 1,306,972,254.65, 1,834,352,806.75 and 1,306,972,254.65

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Solution

The fourth proportional to 1,306,972,254.65, 1,834,352,806.75 and 1,306,972,254.65 is: 1,834,352,806.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,972,254.65 : 1,834,352,806.75 = 1,306,972,254.65 : x
  2. Step 2: Convert to fraction form
    1,306,972,254.65/1,834,352,806.75 = 1,306,972,254.65/x
  3. Step 3: Cross multiply
    1,306,972,254.65x = 1,834,352,806.75 × 1,306,972,254.65
  4. Step 4: Simplify right side
    1,306,972,254.65x = 2,397,448,223,661,603,328
  5. Step 5: Solve for x
    x = 2,397,448,223,661,603,328/1,306,972,254.65
  6. Step 6: Final answer
    x = 1,834,352,806.75

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.