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Finding the Fourth Proportional to 30,009,849.30, 42,127,163.10 and 30,009,849.30

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Solution

The fourth proportional to 30,009,849.30, 42,127,163.10 and 30,009,849.30 is: 42,127,163.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,009,849.30 : 42,127,163.10 = 30,009,849.30 : x
  2. Step 2: Convert to fraction form
    30,009,849.30/42,127,163.10 = 30,009,849.30/x
  3. Step 3: Cross multiply
    30,009,849.30x = 42,127,163.10 × 30,009,849.30
  4. Step 4: Simplify right side
    30,009,849.30x = 1,264,229,816,067,521
  5. Step 5: Solve for x
    x = 1,264,229,816,067,521/30,009,849.30
  6. Step 6: Final answer
    x = 42,127,163.10

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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.