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Finding the Fourth Proportional to 100,921,383,000.10, 151,382,074,500.15 and 100,921,383,000.10

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Solution

The fourth proportional to 100,921,383,000.10, 151,382,074,500.15 and 100,921,383,000.10 is: 151,382,074,500.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,921,383,000.10 : 151,382,074,500.15 = 100,921,383,000.10 : x
  2. Step 2: Convert to fraction form
    100,921,383,000.10/151,382,074,500.15 = 100,921,383,000.10/x
  3. Step 3: Cross multiply
    100,921,383,000.10x = 151,382,074,500.15 × 100,921,383,000.10
  4. Step 4: Simplify right side
    100,921,383,000.10x = 15,277,688,319,979,309,498,368
  5. Step 5: Solve for x
    x = 15,277,688,319,979,309,498,368/100,921,383,000.10
  6. Step 6: Final answer
    x = 151,382,074,500.15

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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.