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Finding the Fourth Proportional to 3,269,897,999.10, 4,904,846,998.65 and 3,269,897,999.10

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Solution

The fourth proportional to 3,269,897,999.10, 4,904,846,998.65 and 3,269,897,999.10 is: 4,904,846,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269,897,999.10 : 4,904,846,998.65 = 3,269,897,999.10 : x
  2. Step 2: Convert to fraction form
    3,269,897,999.10/4,904,846,998.65 = 3,269,897,999.10/x
  3. Step 3: Cross multiply
    3,269,897,999.10x = 4,904,846,998.65 × 3,269,897,999.10
  4. Step 4: Simplify right side
    3,269,897,999.10x = 16,038,349,386,777,274,368
  5. Step 5: Solve for x
    x = 16,038,349,386,777,274,368/3,269,897,999.10
  6. Step 6: Final answer
    x = 4,904,846,998.65

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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.