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Finding the Fourth Proportional to 463,648,016.40, 695,472,024.60 and 208,844,048.40

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Solution

The fourth proportional to 463,648,016.40, 695,472,024.60 and 208,844,048.40 is: 313,266,072.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,648,016.40 : 695,472,024.60 = 208,844,048.40 : x
  2. Step 2: Convert to fraction form
    463,648,016.40/695,472,024.60 = 208,844,048.40/x
  3. Step 3: Cross multiply
    463,648,016.40x = 695,472,024.60 × 208,844,048.40
  4. Step 4: Simplify right side
    463,648,016.40x = 145,245,193,166,408,384
  5. Step 5: Solve for x
    x = 145,245,193,166,408,384/463,648,016.40
  6. Step 6: Final answer
    x = 313,266,072.60

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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.