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Finding the Fourth Proportional to 998,973,150.90, 1,498,459,726.35 and 998,973,150.90

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Solution

The fourth proportional to 998,973,150.90, 1,498,459,726.35 and 998,973,150.90 is: 1,498,459,726.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,973,150.90 : 1,498,459,726.35 = 998,973,150.90 : x
  2. Step 2: Convert to fraction form
    998,973,150.90/1,498,459,726.35 = 998,973,150.90/x
  3. Step 3: Cross multiply
    998,973,150.90x = 1,498,459,726.35 × 998,973,150.90
  4. Step 4: Simplify right side
    998,973,150.90x = 1,496,921,034,328,611,072
  5. Step 5: Solve for x
    x = 1,496,921,034,328,611,072/998,973,150.90
  6. Step 6: Final answer
    x = 1,498,459,726.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.