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Finding the Fourth Proportional to 11,754,977,614.80, 16,503,459,119.40 and 11,754,977,614.80

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Solution

The fourth proportional to 11,754,977,614.80, 16,503,459,119.40 and 11,754,977,614.80 is: 16,503,459,119.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754,977,614.80 : 16,503,459,119.40 = 11,754,977,614.80 : x
  2. Step 2: Convert to fraction form
    11,754,977,614.80/16,503,459,119.40 = 11,754,977,614.80/x
  3. Step 3: Cross multiply
    11,754,977,614.80x = 16,503,459,119.40 × 11,754,977,614.80
  4. Step 4: Simplify right side
    11,754,977,614.80x = 193,997,792,515,313,893,376
  5. Step 5: Solve for x
    x = 193,997,792,515,313,893,376/11,754,977,614.80
  6. Step 6: Final answer
    x = 16,503,459,119.40

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Double scale
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1.5x scale

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.