Home / 302,078,890,460.20-416,878,735,380.02-164,909,030,828.64

Finding the Fourth Proportional to 302,078,890,460.20, 416,878,735,380.02 and 164,909,030,828.64

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Solution

The fourth proportional to 302,078,890,460.20, 416,878,735,380.02 and 164,909,030,828.64 is: 227,579,848,826.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,078,890,460.20 : 416,878,735,380.02 = 164,909,030,828.64 : x
  2. Step 2: Convert to fraction form
    302,078,890,460.20/416,878,735,380.02 = 164,909,030,828.64/x
  3. Step 3: Cross multiply
    302,078,890,460.20x = 416,878,735,380.02 × 164,909,030,828.64
  4. Step 4: Simplify right side
    302,078,890,460.20x = 68,747,068,224,588,184,813,568
  5. Step 5: Solve for x
    x = 68,747,068,224,588,184,813,568/302,078,890,460.20
  6. Step 6: Final answer
    x = 227,579,848,826.43

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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.