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Finding the Fourth Proportional to 1,103,879,940,301.50, 1,655,819,910,452.30 and 1,103,879,940,301.50

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Solution

The fourth proportional to 1,103,879,940,301.50, 1,655,819,910,452.30 and 1,103,879,940,301.50 is: 1,655,819,910,452.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103,879,940,301.50 : 1,655,819,910,452.30 = 1,103,879,940,301.50 : x
  2. Step 2: Convert to fraction form
    1,103,879,940,301.50/1,655,819,910,452.30 = 1,103,879,940,301.50/x
  3. Step 3: Cross multiply
    1,103,879,940,301.50x = 1,655,819,910,452.30 × 1,103,879,940,301.50
  4. Step 4: Simplify right side
    1,103,879,940,301.50x = 1,827,826,383,900,119,960,387,584
  5. Step 5: Solve for x
    x = 1,827,826,383,900,119,960,387,584/1,103,879,940,301.50
  6. Step 6: Final answer
    x = 1,655,819,910,452.30

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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.