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Finding the Fourth Proportional to 405,386,330.80, 608,079,496.20 and 405,386,330.80

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Solution

The fourth proportional to 405,386,330.80, 608,079,496.20 and 405,386,330.80 is: 608,079,496.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,386,330.80 : 608,079,496.20 = 405,386,330.80 : x
  2. Step 2: Convert to fraction form
    405,386,330.80/608,079,496.20 = 405,386,330.80/x
  3. Step 3: Cross multiply
    405,386,330.80x = 608,079,496.20 × 405,386,330.80
  4. Step 4: Simplify right side
    405,386,330.80x = 246,507,115,799,230,560
  5. Step 5: Solve for x
    x = 246,507,115,799,230,560/405,386,330.80
  6. Step 6: Final answer
    x = 608,079,496.20

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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.