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Finding the Fourth Proportional to 813,888,826.80, 1,140,974,907.60 and 813,888,826.80

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Solution

The fourth proportional to 813,888,826.80, 1,140,974,907.60 and 813,888,826.80 is: 1,140,974,907.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,888,826.80 : 1,140,974,907.60 = 813,888,826.80 : x
  2. Step 2: Convert to fraction form
    813,888,826.80/1,140,974,907.60 = 813,888,826.80/x
  3. Step 3: Cross multiply
    813,888,826.80x = 1,140,974,907.60 × 813,888,826.80
  4. Step 4: Simplify right side
    813,888,826.80x = 928,626,728,954,802,304
  5. Step 5: Solve for x
    x = 928,626,728,954,802,304/813,888,826.80
  6. Step 6: Final answer
    x = 1,140,974,907.60

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