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Finding the Fourth Proportional to 880,066,296,492.30, 1,320,099,444,738.50 and 880,066,296,492.30

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Solution

The fourth proportional to 880,066,296,492.30, 1,320,099,444,738.50 and 880,066,296,492.30 is: 1,320,099,444,738.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    880,066,296,492.30 : 1,320,099,444,738.50 = 880,066,296,492.30 : x
  2. Step 2: Convert to fraction form
    880,066,296,492.30/1,320,099,444,738.50 = 880,066,296,492.30/x
  3. Step 3: Cross multiply
    880,066,296,492.30x = 1,320,099,444,738.50 × 880,066,296,492.30
  4. Step 4: Simplify right side
    880,066,296,492.30x = 1,161,775,029,332,553,448,292,352
  5. Step 5: Solve for x
    x = 1,161,775,029,332,553,448,292,352/880,066,296,492.30
  6. Step 6: Final answer
    x = 1,320,099,444,738.50

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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.