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Finding the Fourth Proportional to 1,805,133,907.80, 2,707,700,861.70 and 1,805,133,907.80

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Solution

The fourth proportional to 1,805,133,907.80, 2,707,700,861.70 and 1,805,133,907.80 is: 2,707,700,861.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805,133,907.80 : 2,707,700,861.70 = 1,805,133,907.80 : x
  2. Step 2: Convert to fraction form
    1,805,133,907.80/2,707,700,861.70 = 1,805,133,907.80/x
  3. Step 3: Cross multiply
    1,805,133,907.80x = 2,707,700,861.70 × 1,805,133,907.80
  4. Step 4: Simplify right side
    1,805,133,907.80x = 4,887,762,637,633,947,648
  5. Step 5: Solve for x
    x = 4,887,762,637,633,947,648/1,805,133,907.80
  6. Step 6: Final answer
    x = 2,707,700,861.70

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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.