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Finding the Fourth Proportional to 128,652,123.40, 180,590,730.20 and 128,652,123.40

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Solution

The fourth proportional to 128,652,123.40, 180,590,730.20 and 128,652,123.40 is: 180,590,730.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,652,123.40 : 180,590,730.20 = 128,652,123.40 : x
  2. Step 2: Convert to fraction form
    128,652,123.40/180,590,730.20 = 128,652,123.40/x
  3. Step 3: Cross multiply
    128,652,123.40x = 180,590,730.20 × 128,652,123.40
  4. Step 4: Simplify right side
    128,652,123.40x = 23,233,380,906,586,508
  5. Step 5: Solve for x
    x = 23,233,380,906,586,508/128,652,123.40
  6. Step 6: Final answer
    x = 180,590,730.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.