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Finding the Fourth Proportional to 1,375,996,817.15, 1,931,837,499.85 and 1,375,996,817.15

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Solution

The fourth proportional to 1,375,996,817.15, 1,931,837,499.85 and 1,375,996,817.15 is: 1,931,837,499.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375,996,817.15 : 1,931,837,499.85 = 1,375,996,817.15 : x
  2. Step 2: Convert to fraction form
    1,375,996,817.15/1,931,837,499.85 = 1,375,996,817.15/x
  3. Step 3: Cross multiply
    1,375,996,817.15x = 1,931,837,499.85 × 1,375,996,817.15
  4. Step 4: Simplify right side
    1,375,996,817.15x = 2,658,202,251,044,613,632
  5. Step 5: Solve for x
    x = 2,658,202,251,044,613,632/1,375,996,817.15
  6. Step 6: Final answer
    x = 1,931,837,499.85

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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.