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Finding the Fourth Proportional to 82,429,991,330.40, 123,644,986,995.60 and 82,429,991,330.40

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Solution

The fourth proportional to 82,429,991,330.40, 123,644,986,995.60 and 82,429,991,330.40 is: 123,644,986,995.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,429,991,330.40 : 123,644,986,995.60 = 82,429,991,330.40 : x
  2. Step 2: Convert to fraction form
    82,429,991,330.40/123,644,986,995.60 = 82,429,991,330.40/x
  3. Step 3: Cross multiply
    82,429,991,330.40x = 123,644,986,995.60 × 82,429,991,330.40
  4. Step 4: Simplify right side
    82,429,991,330.40x = 10,192,055,206,094,728,855,552
  5. Step 5: Solve for x
    x = 10,192,055,206,094,728,855,552/82,429,991,330.40
  6. Step 6: Final answer
    x = 123,644,986,995.60

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Double scale
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Similar ratio
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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.