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Finding the Fourth Proportional to 386,182,686,019.20, 579,274,029,028.80 and 386,182,686,019.20

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Solution

The fourth proportional to 386,182,686,019.20, 579,274,029,028.80 and 386,182,686,019.20 is: 579,274,029,028.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,182,686,019.20 : 579,274,029,028.80 = 386,182,686,019.20 : x
  2. Step 2: Convert to fraction form
    386,182,686,019.20/579,274,029,028.80 = 386,182,686,019.20/x
  3. Step 3: Cross multiply
    386,182,686,019.20x = 579,274,029,028.80 × 386,182,686,019.20
  4. Step 4: Simplify right side
    386,182,686,019.20x = 223,705,600,471,506,056,380,416
  5. Step 5: Solve for x
    x = 223,705,600,471,506,056,380,416/386,182,686,019.20
  6. Step 6: Final answer
    x = 579,274,029,028.80

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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.