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Finding the Fourth Proportional to 826,989,811.20, 1,240,484,716.80 and 826,989,811.20

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Solution

The fourth proportional to 826,989,811.20, 1,240,484,716.80 and 826,989,811.20 is: 1,240,484,716.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,989,811.20 : 1,240,484,716.80 = 826,989,811.20 : x
  2. Step 2: Convert to fraction form
    826,989,811.20/1,240,484,716.80 = 826,989,811.20/x
  3. Step 3: Cross multiply
    826,989,811.20x = 1,240,484,716.80 × 826,989,811.20
  4. Step 4: Simplify right side
    826,989,811.20x = 1,025,868,221,742,917,504
  5. Step 5: Solve for x
    x = 1,025,868,221,742,917,504/826,989,811.20
  6. Step 6: Final answer
    x = 1,240,484,716.80

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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.