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Finding the Fourth Proportional to 2,243,375,999.99, 3,365,063,999.98 and 2,243,375,999.99

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Solution

The fourth proportional to 2,243,375,999.99, 3,365,063,999.98 and 2,243,375,999.99 is: 3,365,063,999.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243,375,999.99 : 3,365,063,999.98 = 2,243,375,999.99 : x
  2. Step 2: Convert to fraction form
    2,243,375,999.99/3,365,063,999.98 = 2,243,375,999.99/x
  3. Step 3: Cross multiply
    2,243,375,999.99x = 3,365,063,999.98 × 2,243,375,999.99
  4. Step 4: Simplify right side
    2,243,375,999.99x = 7,549,103,815,985,480,704
  5. Step 5: Solve for x
    x = 7,549,103,815,985,480,704/2,243,375,999.99
  6. Step 6: Final answer
    x = 3,365,063,999.98

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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.