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Finding the Fourth Proportional to 886,464,007.65, 1,329,696,011.49 and 886,464,007.65

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Solution

The fourth proportional to 886,464,007.65, 1,329,696,011.49 and 886,464,007.65 is: 1,329,696,011.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    886,464,007.65 : 1,329,696,011.49 = 886,464,007.65 : x
  2. Step 2: Convert to fraction form
    886,464,007.65/1,329,696,011.49 = 886,464,007.65/x
  3. Step 3: Cross multiply
    886,464,007.65x = 1,329,696,011.49 × 886,464,007.65
  4. Step 4: Simplify right side
    886,464,007.65x = 1,178,727,655,301,645,824
  5. Step 5: Solve for x
    x = 1,178,727,655,301,645,824/886,464,007.65
  6. Step 6: Final answer
    x = 1,329,696,011.49

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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.