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Finding the Fourth Proportional to 585,212,438.90, 806,811,926.33 and 464,909,585.78

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Solution

The fourth proportional to 585,212,438.90, 806,811,926.33 and 464,909,585.78 is: 640,954,589.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,212,438.90 : 806,811,926.33 = 464,909,585.78 : x
  2. Step 2: Convert to fraction form
    585,212,438.90/806,811,926.33 = 464,909,585.78/x
  3. Step 3: Cross multiply
    585,212,438.90x = 806,811,926.33 × 464,909,585.78
  4. Step 4: Simplify right side
    585,212,438.90x = 375,094,598,475,623,488
  5. Step 5: Solve for x
    x = 375,094,598,475,623,488/585,212,438.90
  6. Step 6: Final answer
    x = 640,954,589.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.