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Finding the Fourth Proportional to 7,566,569,818.20, 11,349,854,727.30 and 7,566,569,818.20

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Solution

The fourth proportional to 7,566,569,818.20, 11,349,854,727.30 and 7,566,569,818.20 is: 11,349,854,727.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566,569,818.20 : 11,349,854,727.30 = 7,566,569,818.20 : x
  2. Step 2: Convert to fraction form
    7,566,569,818.20/11,349,854,727.30 = 7,566,569,818.20/x
  3. Step 3: Cross multiply
    7,566,569,818.20x = 11,349,854,727.30 × 7,566,569,818.20
  4. Step 4: Simplify right side
    7,566,569,818.20x = 85,879,468,220,542,763,008
  5. Step 5: Solve for x
    x = 85,879,468,220,542,763,008/7,566,569,818.20
  6. Step 6: Final answer
    x = 11,349,854,727.30

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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.