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Finding the Fourth Proportional to 523,198,191,036.35, 784,797,286,554.50 and 523,198,191,036.35

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Solution

The fourth proportional to 523,198,191,036.35, 784,797,286,554.50 and 523,198,191,036.35 is: 784,797,286,554.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,198,191,036.35 : 784,797,286,554.50 = 523,198,191,036.35 : x
  2. Step 2: Convert to fraction form
    523,198,191,036.35/784,797,286,554.50 = 523,198,191,036.35/x
  3. Step 3: Cross multiply
    523,198,191,036.35x = 784,797,286,554.50 × 523,198,191,036.35
  4. Step 4: Simplify right side
    523,198,191,036.35x = 410,604,520,655,550,398,070,784
  5. Step 5: Solve for x
    x = 410,604,520,655,550,398,070,784/523,198,191,036.35
  6. Step 6: Final answer
    x = 784,797,286,554.50

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Double scale
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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.