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Finding the Fourth Proportional to 257,937,696,064.80, 386,906,544,097.20 and 257,937,696,064.80

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Solution

The fourth proportional to 257,937,696,064.80, 386,906,544,097.20 and 257,937,696,064.80 is: 386,906,544,097.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,937,696,064.80 : 386,906,544,097.20 = 257,937,696,064.80 : x
  2. Step 2: Convert to fraction form
    257,937,696,064.80/386,906,544,097.20 = 257,937,696,064.80/x
  3. Step 3: Cross multiply
    257,937,696,064.80x = 386,906,544,097.20 × 257,937,696,064.80
  4. Step 4: Simplify right side
    257,937,696,064.80x = 99,797,782,576,825,708,314,624
  5. Step 5: Solve for x
    x = 99,797,782,576,825,708,314,624/257,937,696,064.80
  6. Step 6: Final answer
    x = 386,906,544,097.20

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1.5x scale

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.