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Finding the Fourth Proportional to 668,727,576,005.40, 938,863,396,945.80 and 668,727,576,005.40

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Solution

The fourth proportional to 668,727,576,005.40, 938,863,396,945.80 and 668,727,576,005.40 is: 938,863,396,945.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,727,576,005.40 : 938,863,396,945.80 = 668,727,576,005.40 : x
  2. Step 2: Convert to fraction form
    668,727,576,005.40/938,863,396,945.80 = 668,727,576,005.40/x
  3. Step 3: Cross multiply
    668,727,576,005.40x = 938,863,396,945.80 × 668,727,576,005.40
  4. Step 4: Simplify right side
    668,727,576,005.40x = 627,843,843,639,760,581,033,984
  5. Step 5: Solve for x
    x = 627,843,843,639,760,581,033,984/668,727,576,005.40
  6. Step 6: Final answer
    x = 938,863,396,945.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.