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Finding the Fourth Proportional to 787,289,623.10, 1,180,934,434.65 and 787,289,623.10

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Solution

The fourth proportional to 787,289,623.10, 1,180,934,434.65 and 787,289,623.10 is: 1,180,934,434.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,289,623.10 : 1,180,934,434.65 = 787,289,623.10 : x
  2. Step 2: Convert to fraction form
    787,289,623.10/1,180,934,434.65 = 787,289,623.10/x
  3. Step 3: Cross multiply
    787,289,623.10x = 1,180,934,434.65 × 787,289,623.10
  4. Step 4: Simplify right side
    787,289,623.10x = 929,737,425,961,410,176
  5. Step 5: Solve for x
    x = 929,737,425,961,410,176/787,289,623.10
  6. Step 6: Final answer
    x = 1,180,934,434.65

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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.