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Finding the Fourth Proportional to 1,909,782,777.20, 2,866,185,820.20 and 745,808,889.20

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Solution

The fourth proportional to 1,909,782,777.20, 2,866,185,820.20 and 745,808,889.20 is: 1,119,303,665.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909,782,777.20 : 2,866,185,820.20 = 745,808,889.20 : x
  2. Step 2: Convert to fraction form
    1,909,782,777.20/2,866,185,820.20 = 745,808,889.20/x
  3. Step 3: Cross multiply
    1,909,782,777.20x = 2,866,185,820.20 × 745,808,889.20
  4. Step 4: Simplify right side
    1,909,782,777.20x = 2,137,626,862,804,152,832
  5. Step 5: Solve for x
    x = 2,137,626,862,804,152,832/1,909,782,777.20
  6. Step 6: Final answer
    x = 1,119,303,665.49

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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.