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Finding the Fourth Proportional to 573,313,152.20, 859,969,728.30 and 314,428,339.40

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Solution

The fourth proportional to 573,313,152.20, 859,969,728.30 and 314,428,339.40 is: 471,642,509.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,313,152.20 : 859,969,728.30 = 314,428,339.40 : x
  2. Step 2: Convert to fraction form
    573,313,152.20/859,969,728.30 = 314,428,339.40/x
  3. Step 3: Cross multiply
    573,313,152.20x = 859,969,728.30 × 314,428,339.40
  4. Step 4: Simplify right side
    573,313,152.20x = 270,398,853,603,638,144
  5. Step 5: Solve for x
    x = 270,398,853,603,638,144/573,313,152.20
  6. Step 6: Final answer
    x = 471,642,509.10

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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.