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Finding the Fourth Proportional to 409,460,751, 614,191,126.50 and 136,831,518

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Solution

The fourth proportional to 409,460,751, 614,191,126.50 and 136,831,518 is: 205,247,277

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,460,751 : 614,191,126.50 = 136,831,518 : x
  2. Step 2: Convert to fraction form
    409,460,751/614,191,126.50 = 136,831,518/x
  3. Step 3: Cross multiply
    409,460,751x = 614,191,126.50 × 136,831,518
  4. Step 4: Simplify right side
    409,460,751x = 84,040,704,181,125,024
  5. Step 5: Solve for x
    x = 84,040,704,181,125,024/409,460,751
  6. Step 6: Final answer
    x = 205,247,277

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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.