Home / 146,408,113,354.02-202,032,108,333.64-82,166,430,507.18

Finding the Fourth Proportional to 146,408,113,354.02, 202,032,108,333.64 and 82,166,430,507.18

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Solution

The fourth proportional to 146,408,113,354.02, 202,032,108,333.64 and 82,166,430,507.18 is: 113,383,451,294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,408,113,354.02 : 202,032,108,333.64 = 82,166,430,507.18 : x
  2. Step 2: Convert to fraction form
    146,408,113,354.02/202,032,108,333.64 = 82,166,430,507.18/x
  3. Step 3: Cross multiply
    146,408,113,354.02x = 202,032,108,333.64 × 82,166,430,507.18
  4. Step 4: Simplify right side
    146,408,113,354.02x = 16,600,257,189,615,092,367,360
  5. Step 5: Solve for x
    x = 16,600,257,189,615,092,367,360/146,408,113,354.02
  6. Step 6: Final answer
    x = 113,383,451,294.64

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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.