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Finding the Fourth Proportional to 405,648,002.30, 608,472,003.45 and 244,404,866.30

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Solution

The fourth proportional to 405,648,002.30, 608,472,003.45 and 244,404,866.30 is: 366,607,299.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,648,002.30 : 608,472,003.45 = 244,404,866.30 : x
  2. Step 2: Convert to fraction form
    405,648,002.30/608,472,003.45 = 244,404,866.30/x
  3. Step 3: Cross multiply
    405,648,002.30x = 608,472,003.45 × 244,404,866.30
  4. Step 4: Simplify right side
    405,648,002.30x = 148,713,518,650,490,400
  5. Step 5: Solve for x
    x = 148,713,518,650,490,400/405,648,002.30
  6. Step 6: Final answer
    x = 366,607,299.45

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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.