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Finding the Fourth Proportional to 64,363,766,560.20, 96,545,649,840.30 and 64,363,766,560.20

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Solution

The fourth proportional to 64,363,766,560.20, 96,545,649,840.30 and 64,363,766,560.20 is: 96,545,649,840.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,363,766,560.20 : 96,545,649,840.30 = 64,363,766,560.20 : x
  2. Step 2: Convert to fraction form
    64,363,766,560.20/96,545,649,840.30 = 64,363,766,560.20/x
  3. Step 3: Cross multiply
    64,363,766,560.20x = 96,545,649,840.30 × 64,363,766,560.20
  4. Step 4: Simplify right side
    64,363,766,560.20x = 6,214,041,668,723,879,706,624
  5. Step 5: Solve for x
    x = 6,214,041,668,723,879,706,624/64,363,766,560.20
  6. Step 6: Final answer
    x = 96,545,649,840.30

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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.