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Finding the Fourth Proportional to 573,313,156.20, 859,969,734.30 and 314,428,343.40

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Solution

The fourth proportional to 573,313,156.20, 859,969,734.30 and 314,428,343.40 is: 471,642,515.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,313,156.20 : 859,969,734.30 = 314,428,343.40 : x
  2. Step 2: Convert to fraction form
    573,313,156.20/859,969,734.30 = 314,428,343.40/x
  3. Step 3: Cross multiply
    573,313,156.20x = 859,969,734.30 × 314,428,343.40
  4. Step 4: Simplify right side
    573,313,156.20x = 270,398,858,930,087,136
  5. Step 5: Solve for x
    x = 270,398,858,930,087,136/573,313,156.20
  6. Step 6: Final answer
    x = 471,642,515.10

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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.