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Finding the Fourth Proportional to 409,460,756, 614,191,134 and 136,831,523

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Solution

The fourth proportional to 409,460,756, 614,191,134 and 136,831,523 is: 205,247,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,460,756 : 614,191,134 = 136,831,523 : x
  2. Step 2: Convert to fraction form
    409,460,756/614,191,134 = 136,831,523/x
  3. Step 3: Cross multiply
    409,460,756x = 614,191,134 × 136,831,523
  4. Step 4: Simplify right side
    409,460,756x = 84,040,708,278,317,088
  5. Step 5: Solve for x
    x = 84,040,708,278,317,088/409,460,756
  6. Step 6: Final answer
    x = 205,247,284.50

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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.