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Finding the Fourth Proportional to 792,734,117.60, 1,189,101,176.40 and 792,734,117.60

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Solution

The fourth proportional to 792,734,117.60, 1,189,101,176.40 and 792,734,117.60 is: 1,189,101,176.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,734,117.60 : 1,189,101,176.40 = 792,734,117.60 : x
  2. Step 2: Convert to fraction form
    792,734,117.60/1,189,101,176.40 = 792,734,117.60/x
  3. Step 3: Cross multiply
    792,734,117.60x = 1,189,101,176.40 × 792,734,117.60
  4. Step 4: Simplify right side
    792,734,117.60x = 942,641,071,810,576,000
  5. Step 5: Solve for x
    x = 942,641,071,810,576,000/792,734,117.60
  6. Step 6: Final answer
    x = 1,189,101,176.40

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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.