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Finding the Fourth Proportional to 693,848,283.90, 1,039,384,784.25 and 417,346,813.50

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Solution

The fourth proportional to 693,848,283.90, 1,039,384,784.25 and 417,346,813.50 is: 625,185,559.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,848,283.90 : 1,039,384,784.25 = 417,346,813.50 : x
  2. Step 2: Convert to fraction form
    693,848,283.90/1,039,384,784.25 = 417,346,813.50/x
  3. Step 3: Cross multiply
    693,848,283.90x = 1,039,384,784.25 × 417,346,813.50
  4. Step 4: Simplify right side
    693,848,283.90x = 433,783,927,707,122,496
  5. Step 5: Solve for x
    x = 433,783,927,707,122,496/693,848,283.90
  6. Step 6: Final answer
    x = 625,185,559.69

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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.