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Finding the Fourth Proportional to 998,973,105.40, 1,498,459,658.10 and 998,973,105.40

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Solution

The fourth proportional to 998,973,105.40, 1,498,459,658.10 and 998,973,105.40 is: 1,498,459,658.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,973,105.40 : 1,498,459,658.10 = 998,973,105.40 : x
  2. Step 2: Convert to fraction form
    998,973,105.40/1,498,459,658.10 = 998,973,105.40/x
  3. Step 3: Cross multiply
    998,973,105.40x = 1,498,459,658.10 × 998,973,105.40
  4. Step 4: Simplify right side
    998,973,105.40x = 1,496,920,897,968,779,008
  5. Step 5: Solve for x
    x = 1,496,920,897,968,779,008/998,973,105.40
  6. Step 6: Final answer
    x = 1,498,459,658.10

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Half scale
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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.