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Finding the Fourth Proportional to 998,784,010.40, 1,498,176,015.60 and 998,784,010.40

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Solution

The fourth proportional to 998,784,010.40, 1,498,176,015.60 and 998,784,010.40 is: 1,498,176,015.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,784,010.40 : 1,498,176,015.60 = 998,784,010.40 : x
  2. Step 2: Convert to fraction form
    998,784,010.40/1,498,176,015.60 = 998,784,010.40/x
  3. Step 3: Cross multiply
    998,784,010.40x = 1,498,176,015.60 × 998,784,010.40
  4. Step 4: Simplify right side
    998,784,010.40x = 1,496,354,249,146,060,800
  5. Step 5: Solve for x
    x = 1,496,354,249,146,060,800/998,784,010.40
  6. Step 6: Final answer
    x = 1,498,176,015.60

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Double scale
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Similar ratio
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1.5x scale

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.