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Finding the Fourth Proportional to 559,315,773,022.60, 838,973,659,533.90 and 559,315,773,022.60

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Solution

The fourth proportional to 559,315,773,022.60, 838,973,659,533.90 and 559,315,773,022.60 is: 838,973,659,533.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,315,773,022.60 : 838,973,659,533.90 = 559,315,773,022.60 : x
  2. Step 2: Convert to fraction form
    559,315,773,022.60/838,973,659,533.90 = 559,315,773,022.60/x
  3. Step 3: Cross multiply
    559,315,773,022.60x = 838,973,659,533.90 × 559,315,773,022.60
  4. Step 4: Simplify right side
    559,315,773,022.60x = 469,251,200,927,802,907,951,104
  5. Step 5: Solve for x
    x = 469,251,200,927,802,907,951,104/559,315,773,022.60
  6. Step 6: Final answer
    x = 838,973,659,533.90

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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.