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Finding the Fourth Proportional to 780,194,280.40, 1,170,291,420.60 and 780,194,280.40

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Solution

The fourth proportional to 780,194,280.40, 1,170,291,420.60 and 780,194,280.40 is: 1,170,291,420.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,194,280.40 : 1,170,291,420.60 = 780,194,280.40 : x
  2. Step 2: Convert to fraction form
    780,194,280.40/1,170,291,420.60 = 780,194,280.40/x
  3. Step 3: Cross multiply
    780,194,280.40x = 1,170,291,420.60 × 780,194,280.40
  4. Step 4: Simplify right side
    780,194,280.40x = 913,054,672,753,310,592
  5. Step 5: Solve for x
    x = 913,054,672,753,310,592/780,194,280.40
  6. Step 6: Final answer
    x = 1,170,291,420.60

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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.