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Finding the Fourth Proportional to 1,419,636,731.10, 2,129,455,096.65 and 1,419,636,731.10

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Solution

The fourth proportional to 1,419,636,731.10, 2,129,455,096.65 and 1,419,636,731.10 is: 2,129,455,096.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419,636,731.10 : 2,129,455,096.65 = 1,419,636,731.10 : x
  2. Step 2: Convert to fraction form
    1,419,636,731.10/2,129,455,096.65 = 1,419,636,731.10/x
  3. Step 3: Cross multiply
    1,419,636,731.10x = 2,129,455,096.65 × 1,419,636,731.10
  4. Step 4: Simplify right side
    1,419,636,731.10x = 3,023,052,672,432,440,320
  5. Step 5: Solve for x
    x = 3,023,052,672,432,440,320/1,419,636,731.10
  6. Step 6: Final answer
    x = 2,129,455,096.65

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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.