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Finding the Fourth Proportional to 462,383,747.82, 693,729,801.84 and 307,547,969.64

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Solution

The fourth proportional to 462,383,747.82, 693,729,801.84 and 307,547,969.64 is: 461,424,505.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,383,747.82 : 693,729,801.84 = 307,547,969.64 : x
  2. Step 2: Convert to fraction form
    462,383,747.82/693,729,801.84 = 307,547,969.64/x
  3. Step 3: Cross multiply
    462,383,747.82x = 693,729,801.84 × 307,547,969.64
  4. Step 4: Simplify right side
    462,383,747.82x = 213,355,192,034,651,552
  5. Step 5: Solve for x
    x = 213,355,192,034,651,552/462,383,747.82
  6. Step 6: Final answer
    x = 461,424,505.17

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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.