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Finding the Fourth Proportional to 1,258,452,289,237, 1,887,678,433,855.70 and 1,258,452,289,237

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Solution

The fourth proportional to 1,258,452,289,237, 1,887,678,433,855.70 and 1,258,452,289,237 is: 1,887,678,433,855.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258,452,289,237 : 1,887,678,433,855.70 = 1,258,452,289,237 : x
  2. Step 2: Convert to fraction form
    1,258,452,289,237/1,887,678,433,855.70 = 1,258,452,289,237/x
  3. Step 3: Cross multiply
    1,258,452,289,237x = 1,887,678,433,855.70 × 1,258,452,289,237
  4. Step 4: Simplify right side
    1,258,452,289,237x = 2,375,553,246,429,020,589,916,160
  5. Step 5: Solve for x
    x = 2,375,553,246,429,020,589,916,160/1,258,452,289,237
  6. Step 6: Final answer
    x = 1,887,678,433,855.70

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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.