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Finding the Fourth Proportional to 25,509,225,338.20, 38,263,838,007.30 and 25,509,225,338.20

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Solution

The fourth proportional to 25,509,225,338.20, 38,263,838,007.30 and 25,509,225,338.20 is: 38,263,838,007.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,509,225,338.20 : 38,263,838,007.30 = 25,509,225,338.20 : x
  2. Step 2: Convert to fraction form
    25,509,225,338.20/38,263,838,007.30 = 25,509,225,338.20/x
  3. Step 3: Cross multiply
    25,509,225,338.20x = 38,263,838,007.30 × 25,509,225,338.20
  4. Step 4: Simplify right side
    25,509,225,338.20x = 976,080,866,032,597,467,136
  5. Step 5: Solve for x
    x = 976,080,866,032,597,467,136/25,509,225,338.20
  6. Step 6: Final answer
    x = 38,263,838,007.30

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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.