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Finding the Fourth Proportional to 998,973,006.40, 1,498,459,509.60 and 998,973,006.40

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Solution

The fourth proportional to 998,973,006.40, 1,498,459,509.60 and 998,973,006.40 is: 1,498,459,509.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,973,006.40 : 1,498,459,509.60 = 998,973,006.40 : x
  2. Step 2: Convert to fraction form
    998,973,006.40/1,498,459,509.60 = 998,973,006.40/x
  3. Step 3: Cross multiply
    998,973,006.40x = 1,498,459,509.60 × 998,973,006.40
  4. Step 4: Simplify right side
    998,973,006.40x = 1,496,920,601,273,781,504
  5. Step 5: Solve for x
    x = 1,496,920,601,273,781,504/998,973,006.40
  6. Step 6: Final answer
    x = 1,498,459,509.60

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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.