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Finding the Fourth Proportional to 2,000,392,048.87, 2,999,424,978.69 and 756,918,570.76

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Solution

The fourth proportional to 2,000,392,048.87, 2,999,424,978.69 and 756,918,570.76 is: 1,134,937,758.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000,392,048.87 : 2,999,424,978.69 = 756,918,570.76 : x
  2. Step 2: Convert to fraction form
    2,000,392,048.87/2,999,424,978.69 = 756,918,570.76/x
  3. Step 3: Cross multiply
    2,000,392,048.87x = 2,999,424,978.69 × 756,918,570.76
  4. Step 4: Simplify right side
    2,000,392,048.87x = 2,270,320,467,961,503,744
  5. Step 5: Solve for x
    x = 2,270,320,467,961,503,744/2,000,392,048.87
  6. Step 6: Final answer
    x = 1,134,937,758.45

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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.