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Finding the Fourth Proportional to 782,336,019.60, 1,173,504,029.40 and 782,336,019.60

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Solution

The fourth proportional to 782,336,019.60, 1,173,504,029.40 and 782,336,019.60 is: 1,173,504,029.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,336,019.60 : 1,173,504,029.40 = 782,336,019.60 : x
  2. Step 2: Convert to fraction form
    782,336,019.60/1,173,504,029.40 = 782,336,019.60/x
  3. Step 3: Cross multiply
    782,336,019.60x = 1,173,504,029.40 × 782,336,019.60
  4. Step 4: Simplify right side
    782,336,019.60x = 918,074,471,345,357,440
  5. Step 5: Solve for x
    x = 918,074,471,345,357,440/782,336,019.60
  6. Step 6: Final answer
    x = 1,173,504,029.40

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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.