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Finding the Fourth Proportional to 906,646,010.10, 1,359,969,015.15 and 709,375,110.90

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Solution

The fourth proportional to 906,646,010.10, 1,359,969,015.15 and 709,375,110.90 is: 1,064,062,666.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,646,010.10 : 1,359,969,015.15 = 709,375,110.90 : x
  2. Step 2: Convert to fraction form
    906,646,010.10/1,359,969,015.15 = 709,375,110.90/x
  3. Step 3: Cross multiply
    906,646,010.10x = 1,359,969,015.15 × 709,375,110.90
  4. Step 4: Simplify right side
    906,646,010.10x = 964,728,170,942,595,072
  5. Step 5: Solve for x
    x = 964,728,170,942,595,072/906,646,010.10
  6. Step 6: Final answer
    x = 1,064,062,666.35

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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.