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Finding the Fourth Proportional to 286,969,164,977.03, 430,453,747,465.55 and 286,969,164,977.03

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Solution

The fourth proportional to 286,969,164,977.03, 430,453,747,465.55 and 286,969,164,977.03 is: 430,453,747,465.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,969,164,977.03 : 430,453,747,465.55 = 286,969,164,977.03 : x
  2. Step 2: Convert to fraction form
    286,969,164,977.03/430,453,747,465.55 = 286,969,164,977.03/x
  3. Step 3: Cross multiply
    286,969,164,977.03x = 430,453,747,465.55 × 286,969,164,977.03
  4. Step 4: Simplify right side
    286,969,164,977.03x = 123,526,952,471,422,228,758,528
  5. Step 5: Solve for x
    x = 123,526,952,471,422,228,758,528/286,969,164,977.03
  6. Step 6: Final answer
    x = 430,453,747,465.55

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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.