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Finding the Fourth Proportional to 1,668,674,047.80, 2,340,980,961 and 1,668,674,047.80

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Solution

The fourth proportional to 1,668,674,047.80, 2,340,980,961 and 1,668,674,047.80 is: 2,340,980,961

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668,674,047.80 : 2,340,980,961 = 1,668,674,047.80 : x
  2. Step 2: Convert to fraction form
    1,668,674,047.80/2,340,980,961 = 1,668,674,047.80/x
  3. Step 3: Cross multiply
    1,668,674,047.80x = 2,340,980,961 × 1,668,674,047.80
  4. Step 4: Simplify right side
    1,668,674,047.80x = 3,906,334,176,014,603,776
  5. Step 5: Solve for x
    x = 3,906,334,176,014,603,776/1,668,674,047.80
  6. Step 6: Final answer
    x = 2,340,980,961

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.