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Finding the Fourth Proportional to 297,139,968,011.20, 445,709,952,016.80 and 297,139,968,011.20

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Solution

The fourth proportional to 297,139,968,011.20, 445,709,952,016.80 and 297,139,968,011.20 is: 445,709,952,016.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,139,968,011.20 : 445,709,952,016.80 = 297,139,968,011.20 : x
  2. Step 2: Convert to fraction form
    297,139,968,011.20/445,709,952,016.80 = 297,139,968,011.20/x
  3. Step 3: Cross multiply
    297,139,968,011.20x = 445,709,952,016.80 × 297,139,968,011.20
  4. Step 4: Simplify right side
    297,139,968,011.20x = 132,438,240,884,545,432,846,336
  5. Step 5: Solve for x
    x = 132,438,240,884,545,432,846,336/297,139,968,011.20
  6. Step 6: Final answer
    x = 445,709,952,016.80

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Double scale
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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.