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Finding the Fourth Proportional to 940,896,000.40, 1,411,344,000.60 and 842,260,550.80

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Solution

The fourth proportional to 940,896,000.40, 1,411,344,000.60 and 842,260,550.80 is: 1,263,390,826.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,896,000.40 : 1,411,344,000.60 = 842,260,550.80 : x
  2. Step 2: Convert to fraction form
    940,896,000.40/1,411,344,000.60 = 842,260,550.80/x
  3. Step 3: Cross multiply
    940,896,000.40x = 1,411,344,000.60 × 842,260,550.80
  4. Step 4: Simplify right side
    940,896,000.40x = 1,188,719,375,313,631,488
  5. Step 5: Solve for x
    x = 1,188,719,375,313,631,488/940,896,000.40
  6. Step 6: Final answer
    x = 1,263,390,826.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.