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Finding the Fourth Proportional to 129,164,328,008.30, 193,746,492,012.45 and 129,164,328,008.30

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Solution

The fourth proportional to 129,164,328,008.30, 193,746,492,012.45 and 129,164,328,008.30 is: 193,746,492,012.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,164,328,008.30 : 193,746,492,012.45 = 129,164,328,008.30 : x
  2. Step 2: Convert to fraction form
    129,164,328,008.30/193,746,492,012.45 = 129,164,328,008.30/x
  3. Step 3: Cross multiply
    129,164,328,008.30x = 193,746,492,012.45 × 129,164,328,008.30
  4. Step 4: Simplify right side
    129,164,328,008.30x = 25,025,135,444,753,567,973,376
  5. Step 5: Solve for x
    x = 25,025,135,444,753,567,973,376/129,164,328,008.30
  6. Step 6: Final answer
    x = 193,746,492,012.45

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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.