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Finding the Fourth Proportional to 486,485,028,000.70, 729,727,542,001.05 and 486,485,028,000.70

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Solution

The fourth proportional to 486,485,028,000.70, 729,727,542,001.05 and 486,485,028,000.70 is: 729,727,542,001.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,485,028,000.70 : 729,727,542,001.05 = 486,485,028,000.70 : x
  2. Step 2: Convert to fraction form
    486,485,028,000.70/729,727,542,001.05 = 486,485,028,000.70/x
  3. Step 3: Cross multiply
    486,485,028,000.70x = 729,727,542,001.05 × 486,485,028,000.70
  4. Step 4: Simplify right side
    486,485,028,000.70x = 355,001,523,703,262,830,657,536
  5. Step 5: Solve for x
    x = 355,001,523,703,262,830,657,536/486,485,028,000.70
  6. Step 6: Final answer
    x = 729,727,542,001.05

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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.