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Finding the Fourth Proportional to 120,974,681.20, 181,462,021.80 and 120,974,681.20

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Solution

The fourth proportional to 120,974,681.20, 181,462,021.80 and 120,974,681.20 is: 181,462,021.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,974,681.20 : 181,462,021.80 = 120,974,681.20 : x
  2. Step 2: Convert to fraction form
    120,974,681.20/181,462,021.80 = 120,974,681.20/x
  3. Step 3: Cross multiply
    120,974,681.20x = 181,462,021.80 × 120,974,681.20
  4. Step 4: Simplify right side
    120,974,681.20x = 21,952,310,237,162,452
  5. Step 5: Solve for x
    x = 21,952,310,237,162,452/120,974,681.20
  6. Step 6: Final answer
    x = 181,462,021.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.