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Finding the Fourth Proportional to 436,746,997,999.95, 655,120,496,999.95 and 436,746,997,999.95

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Solution

The fourth proportional to 436,746,997,999.95, 655,120,496,999.95 and 436,746,997,999.95 is: 655,120,496,999.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,746,997,999.95 : 655,120,496,999.95 = 436,746,997,999.95 : x
  2. Step 2: Convert to fraction form
    436,746,997,999.95/655,120,496,999.95 = 436,746,997,999.95/x
  3. Step 3: Cross multiply
    436,746,997,999.95x = 655,120,496,999.95 × 436,746,997,999.95
  4. Step 4: Simplify right side
    436,746,997,999.95x = 286,121,910,392,963,391,815,680
  5. Step 5: Solve for x
    x = 286,121,910,392,963,391,815,680/436,746,997,999.95
  6. Step 6: Final answer
    x = 655,120,496,999.95

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1.5x scale

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.