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Finding the Fourth Proportional to 580,742,405.40, 871,113,608.10 and 449,228,472.60

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Solution

The fourth proportional to 580,742,405.40, 871,113,608.10 and 449,228,472.60 is: 673,842,708.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,742,405.40 : 871,113,608.10 = 449,228,472.60 : x
  2. Step 2: Convert to fraction form
    580,742,405.40/871,113,608.10 = 449,228,472.60/x
  3. Step 3: Cross multiply
    580,742,405.40x = 871,113,608.10 × 449,228,472.60
  4. Step 4: Simplify right side
    580,742,405.40x = 391,329,035,627,838,016
  5. Step 5: Solve for x
    x = 391,329,035,627,838,016/580,742,405.40
  6. Step 6: Final answer
    x = 673,842,708.90

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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.