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Finding the Fourth Proportional to 446,652,009.10, 669,978,256.65 and 139,968,124.30

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Solution

The fourth proportional to 446,652,009.10, 669,978,256.65 and 139,968,124.30 is: 209,952,262.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,652,009.10 : 669,978,256.65 = 139,968,124.30 : x
  2. Step 2: Convert to fraction form
    446,652,009.10/669,978,256.65 = 139,968,124.30/x
  3. Step 3: Cross multiply
    446,652,009.10x = 669,978,256.65 × 139,968,124.30
  4. Step 4: Simplify right side
    446,652,009.10x = 93,775,599,905,084,512
  5. Step 5: Solve for x
    x = 93,775,599,905,084,512/446,652,009.10
  6. Step 6: Final answer
    x = 209,952,262.60

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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.