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Finding the Fourth Proportional to 5,409,664,258.60, 8,114,496,387.90 and 5,409,664,258.60

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Solution

The fourth proportional to 5,409,664,258.60, 8,114,496,387.90 and 5,409,664,258.60 is: 8,114,496,387.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409,664,258.60 : 8,114,496,387.90 = 5,409,664,258.60 : x
  2. Step 2: Convert to fraction form
    5,409,664,258.60/8,114,496,387.90 = 5,409,664,258.60/x
  3. Step 3: Cross multiply
    5,409,664,258.60x = 8,114,496,387.90 × 5,409,664,258.60
  4. Step 4: Simplify right side
    5,409,664,258.60x = 43,896,701,086,161,428,480
  5. Step 5: Solve for x
    x = 43,896,701,086,161,428,480/5,409,664,258.60
  6. Step 6: Final answer
    x = 8,114,496,387.90

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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.