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Finding the Fourth Proportional to 1,074,564,019.20, 1,609,158,643.20 and 859,573,171.20

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Solution

The fourth proportional to 1,074,564,019.20, 1,609,158,643.20 and 859,573,171.20 is: 1,287,210,043.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074,564,019.20 : 1,609,158,643.20 = 859,573,171.20 : x
  2. Step 2: Convert to fraction form
    1,074,564,019.20/1,609,158,643.20 = 859,573,171.20/x
  3. Step 3: Cross multiply
    1,074,564,019.20x = 1,609,158,643.20 × 859,573,171.20
  4. Step 4: Simplify right side
    1,074,564,019.20x = 1,383,189,597,899,313,408
  5. Step 5: Solve for x
    x = 1,383,189,597,899,313,408/1,074,564,019.20
  6. Step 6: Final answer
    x = 1,287,210,043.50

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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.