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Finding the Fourth Proportional to 646,543,648,833.40, 969,815,473,250.10 and 646,543,648,833.40

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Solution

The fourth proportional to 646,543,648,833.40, 969,815,473,250.10 and 646,543,648,833.40 is: 969,815,473,250.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,543,648,833.40 : 969,815,473,250.10 = 646,543,648,833.40 : x
  2. Step 2: Convert to fraction form
    646,543,648,833.40/969,815,473,250.10 = 646,543,648,833.40/x
  3. Step 3: Cross multiply
    646,543,648,833.40x = 969,815,473,250.10 × 646,543,648,833.40
  4. Step 4: Simplify right side
    646,543,648,833.40x = 627,028,034,770,210,257,895,424
  5. Step 5: Solve for x
    x = 627,028,034,770,210,257,895,424/646,543,648,833.40
  6. Step 6: Final answer
    x = 969,815,473,250.10

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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.