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Finding the Fourth Proportional to 550,596,656.40, 825,894,984.60 and 317,825,498.40

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Solution

The fourth proportional to 550,596,656.40, 825,894,984.60 and 317,825,498.40 is: 476,738,247.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,596,656.40 : 825,894,984.60 = 317,825,498.40 : x
  2. Step 2: Convert to fraction form
    550,596,656.40/825,894,984.60 = 317,825,498.40/x
  3. Step 3: Cross multiply
    550,596,656.40x = 825,894,984.60 × 317,825,498.40
  4. Step 4: Simplify right side
    550,596,656.40x = 262,490,485,106,555,328
  5. Step 5: Solve for x
    x = 262,490,485,106,555,328/550,596,656.40
  6. Step 6: Final answer
    x = 476,738,247.60

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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.