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Finding the Fourth Proportional to 1,319,179,984.40, 1,978,266,091.80 and 398,750,416.40

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Solution

The fourth proportional to 1,319,179,984.40, 1,978,266,091.80 and 398,750,416.40 is: 597,973,314.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319,179,984.40 : 1,978,266,091.80 = 398,750,416.40 : x
  2. Step 2: Convert to fraction form
    1,319,179,984.40/1,978,266,091.80 = 398,750,416.40/x
  3. Step 3: Cross multiply
    1,319,179,984.40x = 1,978,266,091.80 × 398,750,416.40
  4. Step 4: Simplify right side
    1,319,179,984.40x = 788,834,427,855,250,560
  5. Step 5: Solve for x
    x = 788,834,427,855,250,560/1,319,179,984.40
  6. Step 6: Final answer
    x = 597,973,314.62

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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.