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Finding the Fourth Proportional to 676,584,009.10, 945,176,879.30 and 676,584,009.10

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Solution

The fourth proportional to 676,584,009.10, 945,176,879.30 and 676,584,009.10 is: 945,176,879.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,584,009.10 : 945,176,879.30 = 676,584,009.10 : x
  2. Step 2: Convert to fraction form
    676,584,009.10/945,176,879.30 = 676,584,009.10/x
  3. Step 3: Cross multiply
    676,584,009.10x = 945,176,879.30 × 676,584,009.10
  4. Step 4: Simplify right side
    676,584,009.10x = 639,491,562,305,420,800
  5. Step 5: Solve for x
    x = 639,491,562,305,420,800/676,584,009.10
  6. Step 6: Final answer
    x = 945,176,879.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.