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Finding the Fourth Proportional to 405,386,320.80, 608,079,481.20 and 405,386,320.80

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Solution

The fourth proportional to 405,386,320.80, 608,079,481.20 and 405,386,320.80 is: 608,079,481.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,386,320.80 : 608,079,481.20 = 405,386,320.80 : x
  2. Step 2: Convert to fraction form
    405,386,320.80/608,079,481.20 = 405,386,320.80/x
  3. Step 3: Cross multiply
    405,386,320.80x = 608,079,481.20 × 405,386,320.80
  4. Step 4: Simplify right side
    405,386,320.80x = 246,507,103,637,640,800
  5. Step 5: Solve for x
    x = 246,507,103,637,640,800/405,386,320.80
  6. Step 6: Final answer
    x = 608,079,481.20

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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.