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Finding the Fourth Proportional to 647,232,001.80, 970,848,002.70 and 216,410,497.80

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Solution

The fourth proportional to 647,232,001.80, 970,848,002.70 and 216,410,497.80 is: 324,615,746.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,232,001.80 : 970,848,002.70 = 216,410,497.80 : x
  2. Step 2: Convert to fraction form
    647,232,001.80/970,848,002.70 = 216,410,497.80/x
  3. Step 3: Cross multiply
    647,232,001.80x = 970,848,002.70 × 216,410,497.80
  4. Step 4: Simplify right side
    647,232,001.80x = 210,101,699,552,442,752
  5. Step 5: Solve for x
    x = 210,101,699,552,442,752/647,232,001.80
  6. Step 6: Final answer
    x = 324,615,746.70

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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.