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Finding the Fourth Proportional to 109,810,859,862.60, 164,716,289,793.90 and 109,810,859,862.60

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Solution

The fourth proportional to 109,810,859,862.60, 164,716,289,793.90 and 109,810,859,862.60 is: 164,716,289,793.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,810,859,862.60 : 164,716,289,793.90 = 109,810,859,862.60 : x
  2. Step 2: Convert to fraction form
    109,810,859,862.60/164,716,289,793.90 = 109,810,859,862.60/x
  3. Step 3: Cross multiply
    109,810,859,862.60x = 164,716,289,793.90 × 109,810,859,862.60
  4. Step 4: Simplify right side
    109,810,859,862.60x = 18,087,637,415,645,363,044,352
  5. Step 5: Solve for x
    x = 18,087,637,415,645,363,044,352/109,810,859,862.60
  6. Step 6: Final answer
    x = 164,716,289,793.90

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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.