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Finding the Fourth Proportional to 1,442,190,844.90, 2,023,658,833.10 and 1,442,190,844.90

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Solution

The fourth proportional to 1,442,190,844.90, 2,023,658,833.10 and 1,442,190,844.90 is: 2,023,658,833.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442,190,844.90 : 2,023,658,833.10 = 1,442,190,844.90 : x
  2. Step 2: Convert to fraction form
    1,442,190,844.90/2,023,658,833.10 = 1,442,190,844.90/x
  3. Step 3: Cross multiply
    1,442,190,844.90x = 2,023,658,833.10 × 1,442,190,844.90
  4. Step 4: Simplify right side
    1,442,190,844.90x = 2,918,502,242,297,837,056
  5. Step 5: Solve for x
    x = 2,918,502,242,297,837,056/1,442,190,844.90
  6. Step 6: Final answer
    x = 2,023,658,833.10

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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.