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Finding the Fourth Proportional to 559,315,773,000.09, 838,973,659,500.18 and 559,315,773,000.09

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Solution

The fourth proportional to 559,315,773,000.09, 838,973,659,500.18 and 559,315,773,000.09 is: 838,973,659,500.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,315,773,000.09 : 838,973,659,500.18 = 559,315,773,000.09 : x
  2. Step 2: Convert to fraction form
    559,315,773,000.09/838,973,659,500.18 = 559,315,773,000.09/x
  3. Step 3: Cross multiply
    559,315,773,000.09x = 838,973,659,500.18 × 559,315,773,000.09
  4. Step 4: Simplify right side
    559,315,773,000.09x = 469,251,200,890,057,460,285,440
  5. Step 5: Solve for x
    x = 469,251,200,890,057,460,285,440/559,315,773,000.09
  6. Step 6: Final answer
    x = 838,973,659,500.18

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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.