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Finding the Fourth Proportional to 756,784,009.10, 1,135,176,013.65 and 756,784,009.10

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Solution

The fourth proportional to 756,784,009.10, 1,135,176,013.65 and 756,784,009.10 is: 1,135,176,013.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,784,009.10 : 1,135,176,013.65 = 756,784,009.10 : x
  2. Step 2: Convert to fraction form
    756,784,009.10/1,135,176,013.65 = 756,784,009.10/x
  3. Step 3: Cross multiply
    756,784,009.10x = 1,135,176,013.65 × 756,784,009.10
  4. Step 4: Simplify right side
    756,784,009.10x = 859,083,054,644,203,392
  5. Step 5: Solve for x
    x = 859,083,054,644,203,392/756,784,009.10
  6. Step 6: Final answer
    x = 1,135,176,013.65

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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.