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Finding the Fourth Proportional to 465,973,258.40, 698,903,900.40 and 193,315,594.40

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Solution

The fourth proportional to 465,973,258.40, 698,903,900.40 and 193,315,594.40 is: 289,950,164.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,973,258.40 : 698,903,900.40 = 193,315,594.40 : x
  2. Step 2: Convert to fraction form
    465,973,258.40/698,903,900.40 = 193,315,594.40/x
  3. Step 3: Cross multiply
    465,973,258.40x = 698,903,900.40 × 193,315,594.40
  4. Step 4: Simplify right side
    465,973,258.40x = 135,109,022,934,304,400
  5. Step 5: Solve for x
    x = 135,109,022,934,304,400/465,973,258.40
  6. Step 6: Final answer
    x = 289,950,164.52

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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.