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Finding the Fourth Proportional to 129,164,328,018.80, 193,746,492,028.20 and 129,164,328,018.80

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Solution

The fourth proportional to 129,164,328,018.80, 193,746,492,028.20 and 129,164,328,018.80 is: 193,746,492,028.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,164,328,018.80 : 193,746,492,028.20 = 129,164,328,018.80 : x
  2. Step 2: Convert to fraction form
    129,164,328,018.80/193,746,492,028.20 = 129,164,328,018.80/x
  3. Step 3: Cross multiply
    129,164,328,018.80x = 193,746,492,028.20 × 129,164,328,018.80
  4. Step 4: Simplify right side
    129,164,328,018.80x = 25,025,135,448,822,244,179,968
  5. Step 5: Solve for x
    x = 25,025,135,448,822,244,179,968/129,164,328,018.80
  6. Step 6: Final answer
    x = 193,746,492,028.20

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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.