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Finding the Fourth Proportional to 905,819,464.40, 1,356,713,657.40 and 744,576,328.40

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Solution

The fourth proportional to 905,819,464.40, 1,356,713,657.40 and 744,576,328.40 is: 1,115,207,735.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,819,464.40 : 1,356,713,657.40 = 744,576,328.40 : x
  2. Step 2: Convert to fraction form
    905,819,464.40/1,356,713,657.40 = 744,576,328.40/x
  3. Step 3: Cross multiply
    905,819,464.40x = 1,356,713,657.40 × 744,576,328.40
  4. Step 4: Simplify right side
    905,819,464.40x = 1,010,176,873,717,027,584
  5. Step 5: Solve for x
    x = 1,010,176,873,717,027,584/905,819,464.40
  6. Step 6: Final answer
    x = 1,115,207,735.56

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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.