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Finding the Fourth Proportional to 730,734,007.10, 1,096,101,010.66 and 730,734,007.10

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Solution

The fourth proportional to 730,734,007.10, 1,096,101,010.66 and 730,734,007.10 is: 1,096,101,010.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,734,007.10 : 1,096,101,010.66 = 730,734,007.10 : x
  2. Step 2: Convert to fraction form
    730,734,007.10/1,096,101,010.66 = 730,734,007.10/x
  3. Step 3: Cross multiply
    730,734,007.10x = 1,096,101,010.66 × 730,734,007.10
  4. Step 4: Simplify right side
    730,734,007.10x = 800,958,283,705,941,760
  5. Step 5: Solve for x
    x = 800,958,283,705,941,760/730,734,007.10
  6. Step 6: Final answer
    x = 1,096,101,010.66

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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.