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Finding the Fourth Proportional to 550,471,206.90, 825,706,810.35 and 529,308,045.30

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Solution

The fourth proportional to 550,471,206.90, 825,706,810.35 and 529,308,045.30 is: 793,962,067.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,471,206.90 : 825,706,810.35 = 529,308,045.30 : x
  2. Step 2: Convert to fraction form
    550,471,206.90/825,706,810.35 = 529,308,045.30/x
  3. Step 3: Cross multiply
    550,471,206.90x = 825,706,810.35 × 529,308,045.30
  4. Step 4: Simplify right side
    550,471,206.90x = 437,053,257,777,256,320
  5. Step 5: Solve for x
    x = 437,053,257,777,256,320/550,471,206.90
  6. Step 6: Final answer
    x = 793,962,067.95

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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.