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Finding the Fourth Proportional to 559,315,773,035.60, 838,973,659,553.40 and 559,315,773,035.60

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Solution

The fourth proportional to 559,315,773,035.60, 838,973,659,553.40 and 559,315,773,035.60 is: 838,973,659,553.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,315,773,035.60 : 838,973,659,553.40 = 559,315,773,035.60 : x
  2. Step 2: Convert to fraction form
    559,315,773,035.60/838,973,659,553.40 = 559,315,773,035.60/x
  3. Step 3: Cross multiply
    559,315,773,035.60x = 838,973,659,553.40 × 559,315,773,035.60
  4. Step 4: Simplify right side
    559,315,773,035.60x = 469,251,200,949,616,241,541,120
  5. Step 5: Solve for x
    x = 469,251,200,949,616,241,541,120/559,315,773,035.60
  6. Step 6: Final answer
    x = 838,973,659,553.40

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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.