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Finding the Fourth Proportional to 10,637,568,973.30, 14,917,085,363.90 and 10,637,568,973.30

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Solution

The fourth proportional to 10,637,568,973.30, 14,917,085,363.90 and 10,637,568,973.30 is: 14,917,085,363.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,637,568,973.30 : 14,917,085,363.90 = 10,637,568,973.30 : x
  2. Step 2: Convert to fraction form
    10,637,568,973.30/14,917,085,363.90 = 10,637,568,973.30/x
  3. Step 3: Cross multiply
    10,637,568,973.30x = 14,917,085,363.90 × 10,637,568,973.30
  4. Step 4: Simplify right side
    10,637,568,973.30x = 158,681,524,439,090,167,808
  5. Step 5: Solve for x
    x = 158,681,524,439,090,167,808/10,637,568,973.30
  6. Step 6: Final answer
    x = 14,917,085,363.90

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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.