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Finding the Fourth Proportional to 257,454,913,602.80, 386,182,370,404.20 and 257,454,913,602.80

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Solution

The fourth proportional to 257,454,913,602.80, 386,182,370,404.20 and 257,454,913,602.80 is: 386,182,370,404.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,454,913,602.80 : 386,182,370,404.20 = 257,454,913,602.80 : x
  2. Step 2: Convert to fraction form
    257,454,913,602.80/386,182,370,404.20 = 257,454,913,602.80/x
  3. Step 3: Cross multiply
    257,454,913,602.80x = 386,182,370,404.20 × 257,454,913,602.80
  4. Step 4: Simplify right side
    257,454,913,602.80x = 99,424,548,807,337,813,475,328
  5. Step 5: Solve for x
    x = 99,424,548,807,337,813,475,328/257,454,913,602.80
  6. Step 6: Final answer
    x = 386,182,370,404.20

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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.