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Finding the Fourth Proportional to 88,074,865,271.65, 132,112,297,907.47 and 88,074,865,271.65

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Solution

The fourth proportional to 88,074,865,271.65, 132,112,297,907.47 and 88,074,865,271.65 is: 132,112,297,907.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,074,865,271.65 : 132,112,297,907.47 = 88,074,865,271.65 : x
  2. Step 2: Convert to fraction form
    88,074,865,271.65/132,112,297,907.47 = 88,074,865,271.65/x
  3. Step 3: Cross multiply
    88,074,865,271.65x = 132,112,297,907.47 × 88,074,865,271.65
  4. Step 4: Simplify right side
    88,074,865,271.65x = 11,635,772,838,928,508,256,256
  5. Step 5: Solve for x
    x = 11,635,772,838,928,508,256,256/88,074,865,271.65
  6. Step 6: Final answer
    x = 132,112,297,907.47

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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.