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Finding the Fourth Proportional to 436,752,697,053.70, 655,129,045,580.56 and 436,752,697,053.70

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Solution

The fourth proportional to 436,752,697,053.70, 655,129,045,580.56 and 436,752,697,053.70 is: 655,129,045,580.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,752,697,053.70 : 655,129,045,580.56 = 436,752,697,053.70 : x
  2. Step 2: Convert to fraction form
    436,752,697,053.70/655,129,045,580.56 = 436,752,697,053.70/x
  3. Step 3: Cross multiply
    436,752,697,053.70x = 655,129,045,580.56 × 436,752,697,053.70
  4. Step 4: Simplify right side
    436,752,697,053.70x = 286,129,377,575,525,978,996,736
  5. Step 5: Solve for x
    x = 286,129,377,575,525,978,996,736/436,752,697,053.70
  6. Step 6: Final answer
    x = 655,129,045,580.56

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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.