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Finding the Fourth Proportional to 6,563,645,568,314.70, 9,845,468,352,472.10 and 6,563,645,568,314.70

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Solution

The fourth proportional to 6,563,645,568,314.70, 9,845,468,352,472.10 and 6,563,645,568,314.70 is: 9,845,468,352,472.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563,645,568,314.70 : 9,845,468,352,472.10 = 6,563,645,568,314.70 : x
  2. Step 2: Convert to fraction form
    6,563,645,568,314.70/9,845,468,352,472.10 = 6,563,645,568,314.70/x
  3. Step 3: Cross multiply
    6,563,645,568,314.70x = 9,845,468,352,472.10 × 6,563,645,568,314.70
  4. Step 4: Simplify right side
    6,563,645,568,314.70x = 64,622,164,719,686,133,133,344,768
  5. Step 5: Solve for x
    x = 64,622,164,719,686,133,133,344,768/6,563,645,568,314.70
  6. Step 6: Final answer
    x = 9,845,468,352,472.10

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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.