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Finding the Fourth Proportional to 298,938,216.31, 412,534,995.34 and 166,779,233.32

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Solution

The fourth proportional to 298,938,216.31, 412,534,995.34 and 166,779,233.32 is: 230,155,485.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,938,216.31 : 412,534,995.34 = 166,779,233.32 : x
  2. Step 2: Convert to fraction form
    298,938,216.31/412,534,995.34 = 166,779,233.32/x
  3. Step 3: Cross multiply
    298,938,216.31x = 412,534,995.34 × 166,779,233.32
  4. Step 4: Simplify right side
    298,938,216.31x = 68,802,270,240,474,968
  5. Step 5: Solve for x
    x = 68,802,270,240,474,968/298,938,216.31
  6. Step 6: Final answer
    x = 230,155,485.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.