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Finding the Fourth Proportional to 45,349,733,940.80, 68,024,600,911.20 and 45,349,733,940.80

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Solution

The fourth proportional to 45,349,733,940.80, 68,024,600,911.20 and 45,349,733,940.80 is: 68,024,600,911.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,349,733,940.80 : 68,024,600,911.20 = 45,349,733,940.80 : x
  2. Step 2: Convert to fraction form
    45,349,733,940.80/68,024,600,911.20 = 45,349,733,940.80/x
  3. Step 3: Cross multiply
    45,349,733,940.80x = 68,024,600,911.20 × 45,349,733,940.80
  4. Step 4: Simplify right side
    45,349,733,940.80x = 3,084,897,552,752,021,340,160
  5. Step 5: Solve for x
    x = 3,084,897,552,752,021,340,160/45,349,733,940.80
  6. Step 6: Final answer
    x = 68,024,600,911.20

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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.