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Finding the Fourth Proportional to 490,068,005.10, 735,102,007.65 and 490,068,005.10

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Solution

The fourth proportional to 490,068,005.10, 735,102,007.65 and 490,068,005.10 is: 735,102,007.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,068,005.10 : 735,102,007.65 = 490,068,005.10 : x
  2. Step 2: Convert to fraction form
    490,068,005.10/735,102,007.65 = 490,068,005.10/x
  3. Step 3: Cross multiply
    490,068,005.10x = 735,102,007.65 × 490,068,005.10
  4. Step 4: Simplify right side
    490,068,005.10x = 360,249,974,434,040,448
  5. Step 5: Solve for x
    x = 360,249,974,434,040,448/490,068,005.10
  6. Step 6: Final answer
    x = 735,102,007.65

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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.