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Finding the Fourth Proportional to 68,952,196,810.40, 103,428,295,215.62 and 68,952,196,810.40

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Solution

The fourth proportional to 68,952,196,810.40, 103,428,295,215.62 and 68,952,196,810.40 is: 103,428,295,215.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,952,196,810.40 : 103,428,295,215.62 = 68,952,196,810.40 : x
  2. Step 2: Convert to fraction form
    68,952,196,810.40/103,428,295,215.62 = 68,952,196,810.40/x
  3. Step 3: Cross multiply
    68,952,196,810.40x = 103,428,295,215.62 × 68,952,196,810.40
  4. Step 4: Simplify right side
    68,952,196,810.40x = 7,131,608,167,471,581,757,440
  5. Step 5: Solve for x
    x = 7,131,608,167,471,581,757,440/68,952,196,810.40
  6. Step 6: Final answer
    x = 103,428,295,215.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.