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Finding the Fourth Proportional to 950,797,876,806.75, 1,426,196,815,210.10 and 950,797,876,806.75

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Solution

The fourth proportional to 950,797,876,806.75, 1,426,196,815,210.10 and 950,797,876,806.75 is: 1,426,196,815,210.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,797,876,806.75 : 1,426,196,815,210.10 = 950,797,876,806.75 : x
  2. Step 2: Convert to fraction form
    950,797,876,806.75/1,426,196,815,210.10 = 950,797,876,806.75/x
  3. Step 3: Cross multiply
    950,797,876,806.75x = 1,426,196,815,210.10 × 950,797,876,806.75
  4. Step 4: Simplify right side
    950,797,876,806.75x = 1,356,024,903,810,311,866,286,080
  5. Step 5: Solve for x
    x = 1,356,024,903,810,311,866,286,080/950,797,876,806.75
  6. Step 6: Final answer
    x = 1,426,196,815,210.10

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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.