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Finding the Fourth Proportional to 27,997,427,257.80, 41,996,140,886.70 and 27,997,427,257.80

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Solution

The fourth proportional to 27,997,427,257.80, 41,996,140,886.70 and 27,997,427,257.80 is: 41,996,140,886.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,997,427,257.80 : 41,996,140,886.70 = 27,997,427,257.80 : x
  2. Step 2: Convert to fraction form
    27,997,427,257.80/41,996,140,886.70 = 27,997,427,257.80/x
  3. Step 3: Cross multiply
    27,997,427,257.80x = 41,996,140,886.70 × 27,997,427,257.80
  4. Step 4: Simplify right side
    27,997,427,257.80x = 1,175,783,899,583,703,547,904
  5. Step 5: Solve for x
    x = 1,175,783,899,583,703,547,904/27,997,427,257.80
  6. Step 6: Final answer
    x = 41,996,140,886.70

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1.5x scale

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.