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Finding the Fourth Proportional to 559,315,773,012.20, 838,973,659,518.30 and 559,315,773,012.20

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Solution

The fourth proportional to 559,315,773,012.20, 838,973,659,518.30 and 559,315,773,012.20 is: 838,973,659,518.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,315,773,012.20 : 838,973,659,518.30 = 559,315,773,012.20 : x
  2. Step 2: Convert to fraction form
    559,315,773,012.20/838,973,659,518.30 = 559,315,773,012.20/x
  3. Step 3: Cross multiply
    559,315,773,012.20x = 838,973,659,518.30 × 559,315,773,012.20
  4. Step 4: Simplify right side
    559,315,773,012.20x = 469,251,200,910,352,254,500,864
  5. Step 5: Solve for x
    x = 469,251,200,910,352,254,500,864/559,315,773,012.20
  6. Step 6: Final answer
    x = 838,973,659,518.30

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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.