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Finding the Fourth Proportional to 311,484,673.15, 467,227,009.73 and 311,484,673.15

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Solution

The fourth proportional to 311,484,673.15, 467,227,009.73 and 311,484,673.15 is: 467,227,009.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,484,673.15 : 467,227,009.73 = 311,484,673.15 : x
  2. Step 2: Convert to fraction form
    311,484,673.15/467,227,009.73 = 311,484,673.15/x
  3. Step 3: Cross multiply
    311,484,673.15x = 467,227,009.73 × 311,484,673.15
  4. Step 4: Simplify right side
    311,484,673.15x = 145,534,052,411,043,488
  5. Step 5: Solve for x
    x = 145,534,052,411,043,488/311,484,673.15
  6. Step 6: Final answer
    x = 467,227,009.73

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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.