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Finding the Fourth Proportional to 431,569,497.90, 647,354,246.85 and 158,883,840.30

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Solution

The fourth proportional to 431,569,497.90, 647,354,246.85 and 158,883,840.30 is: 238,325,760.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,569,497.90 : 647,354,246.85 = 158,883,840.30 : x
  2. Step 2: Convert to fraction form
    431,569,497.90/647,354,246.85 = 158,883,840.30/x
  3. Step 3: Cross multiply
    431,569,497.90x = 647,354,246.85 × 158,883,840.30
  4. Step 4: Simplify right side
    431,569,497.90x = 102,854,128,774,042,192
  5. Step 5: Solve for x
    x = 102,854,128,774,042,192/431,569,497.90
  6. Step 6: Final answer
    x = 238,325,760.45

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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.