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Finding the Fourth Proportional to 1,004,004,162.12, 1,385,095,959.72 and 627,006,249.12

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Solution

The fourth proportional to 1,004,004,162.12, 1,385,095,959.72 and 627,006,249.12 is: 865,000,221.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,004,162.12 : 1,385,095,959.72 = 627,006,249.12 : x
  2. Step 2: Convert to fraction form
    1,004,004,162.12/1,385,095,959.72 = 627,006,249.12/x
  3. Step 3: Cross multiply
    1,004,004,162.12x = 1,385,095,959.72 × 627,006,249.12
  4. Step 4: Simplify right side
    1,004,004,162.12x = 868,463,822,375,303,808
  5. Step 5: Solve for x
    x = 868,463,822,375,303,808/1,004,004,162.12
  6. Step 6: Final answer
    x = 865,000,221.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.