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Finding the Fourth Proportional to 386,182,689,969.20, 579,274,034,953.80 and 386,182,689,969.20

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Solution

The fourth proportional to 386,182,689,969.20, 579,274,034,953.80 and 386,182,689,969.20 is: 579,274,034,953.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,182,689,969.20 : 579,274,034,953.80 = 386,182,689,969.20 : x
  2. Step 2: Convert to fraction form
    386,182,689,969.20/579,274,034,953.80 = 386,182,689,969.20/x
  3. Step 3: Cross multiply
    386,182,689,969.20x = 579,274,034,953.80 × 386,182,689,969.20
  4. Step 4: Simplify right side
    386,182,689,969.20x = 223,705,605,047,770,893,254,656
  5. Step 5: Solve for x
    x = 223,705,605,047,770,893,254,656/386,182,689,969.20
  6. Step 6: Final answer
    x = 579,274,034,953.80

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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.