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Finding the Fourth Proportional to 238,463,999.60, 357,695,999.40 and 165,904,588.40

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Solution

The fourth proportional to 238,463,999.60, 357,695,999.40 and 165,904,588.40 is: 248,856,882.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,463,999.60 : 357,695,999.40 = 165,904,588.40 : x
  2. Step 2: Convert to fraction form
    238,463,999.60/357,695,999.40 = 165,904,588.40/x
  3. Step 3: Cross multiply
    238,463,999.60x = 357,695,999.40 × 165,904,588.40
  4. Step 4: Simplify right side
    238,463,999.60x = 59,343,407,552,783,648
  5. Step 5: Solve for x
    x = 59,343,407,552,783,648/238,463,999.60
  6. Step 6: Final answer
    x = 248,856,882.60

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1.5x scale

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.