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Finding the Fourth Proportional to 647,107,367.40, 970,661,051.10 and 539,490,564.90

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Solution

The fourth proportional to 647,107,367.40, 970,661,051.10 and 539,490,564.90 is: 809,235,847.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,107,367.40 : 970,661,051.10 = 539,490,564.90 : x
  2. Step 2: Convert to fraction form
    647,107,367.40/970,661,051.10 = 539,490,564.90/x
  3. Step 3: Cross multiply
    647,107,367.40x = 970,661,051.10 × 539,490,564.90
  4. Step 4: Simplify right side
    647,107,367.40x = 523,662,478,784,366,784
  5. Step 5: Solve for x
    x = 523,662,478,784,366,784/647,107,367.40
  6. Step 6: Final answer
    x = 809,235,847.35

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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.