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Finding the Fourth Proportional to 786,587,125.60, 1,099,181,242.40 and 786,587,125.60

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Solution

The fourth proportional to 786,587,125.60, 1,099,181,242.40 and 786,587,125.60 is: 1,099,181,242.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,587,125.60 : 1,099,181,242.40 = 786,587,125.60 : x
  2. Step 2: Convert to fraction form
    786,587,125.60/1,099,181,242.40 = 786,587,125.60/x
  3. Step 3: Cross multiply
    786,587,125.60x = 1,099,181,242.40 × 786,587,125.60
  4. Step 4: Simplify right side
    786,587,125.60x = 864,601,813,972,852,992
  5. Step 5: Solve for x
    x = 864,601,813,972,852,992/786,587,125.60
  6. Step 6: Final answer
    x = 1,099,181,242.40

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Why These Related Problems?

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