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Finding the Fourth Proportional to 404,578,829.20, 606,868,243.80 and 404,578,829.20

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Solution

The fourth proportional to 404,578,829.20, 606,868,243.80 and 404,578,829.20 is: 606,868,243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,578,829.20 : 606,868,243.80 = 404,578,829.20 : x
  2. Step 2: Convert to fraction form
    404,578,829.20/606,868,243.80 = 404,578,829.20/x
  3. Step 3: Cross multiply
    404,578,829.20x = 606,868,243.80 × 404,578,829.20
  4. Step 4: Simplify right side
    404,578,829.20x = 245,526,043,555,264,128
  5. Step 5: Solve for x
    x = 245,526,043,555,264,128/404,578,829.20
  6. Step 6: Final answer
    x = 606,868,243.80

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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.