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Finding the Fourth Proportional to 9,470,259,223.60, 13,280,130,736.40 and 9,470,259,223.60

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Solution

The fourth proportional to 9,470,259,223.60, 13,280,130,736.40 and 9,470,259,223.60 is: 13,280,130,736.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470,259,223.60 : 13,280,130,736.40 = 9,470,259,223.60 : x
  2. Step 2: Convert to fraction form
    9,470,259,223.60/13,280,130,736.40 = 9,470,259,223.60/x
  3. Step 3: Cross multiply
    9,470,259,223.60x = 13,280,130,736.40 × 9,470,259,223.60
  4. Step 4: Simplify right side
    9,470,259,223.60x = 125,766,280,597,005,959,168
  5. Step 5: Solve for x
    x = 125,766,280,597,005,959,168/9,470,259,223.60
  6. Step 6: Final answer
    x = 13,280,130,736.40

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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.