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Finding the Fourth Proportional to 1,325,795,601.68, 1,829,277,978.36 and 855,796,266.80

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Solution

The fourth proportional to 1,325,795,601.68, 1,829,277,978.36 and 855,796,266.80 is: 1,180,792,320.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325,795,601.68 : 1,829,277,978.36 = 855,796,266.80 : x
  2. Step 2: Convert to fraction form
    1,325,795,601.68/1,829,277,978.36 = 855,796,266.80/x
  3. Step 3: Cross multiply
    1,325,795,601.68x = 1,829,277,978.36 × 855,796,266.80
  4. Step 4: Simplify right side
    1,325,795,601.68x = 1,565,489,264,819,939,072
  5. Step 5: Solve for x
    x = 1,565,489,264,819,939,072/1,325,795,601.68
  6. Step 6: Final answer
    x = 1,180,792,320.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.