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Finding the Fourth Proportional to 356,189,976,019.40, 534,284,964,029.10 and 356,189,976,019.40

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Solution

The fourth proportional to 356,189,976,019.40, 534,284,964,029.10 and 356,189,976,019.40 is: 534,284,964,029.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,189,976,019.40 : 534,284,964,029.10 = 356,189,976,019.40 : x
  2. Step 2: Convert to fraction form
    356,189,976,019.40/534,284,964,029.10 = 356,189,976,019.40/x
  3. Step 3: Cross multiply
    356,189,976,019.40x = 534,284,964,029.10 × 356,189,976,019.40
  4. Step 4: Simplify right side
    356,189,976,019.40x = 190,306,948,525,051,139,325,952
  5. Step 5: Solve for x
    x = 190,306,948,525,051,139,325,952/356,189,976,019.40
  6. Step 6: Final answer
    x = 534,284,964,029.10

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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.