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Finding the Fourth Proportional to 689,905,432.05, 1,034,858,148.08 and 689,905,432.05

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Solution

The fourth proportional to 689,905,432.05, 1,034,858,148.08 and 689,905,432.05 is: 1,034,858,148.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,905,432.05 : 1,034,858,148.08 = 689,905,432.05 : x
  2. Step 2: Convert to fraction form
    689,905,432.05/1,034,858,148.08 = 689,905,432.05/x
  3. Step 3: Cross multiply
    689,905,432.05x = 1,034,858,148.08 × 689,905,432.05
  4. Step 4: Simplify right side
    689,905,432.05x = 713,954,257,758,145,792
  5. Step 5: Solve for x
    x = 713,954,257,758,145,792/689,905,432.05
  6. Step 6: Final answer
    x = 1,034,858,148.08

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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.