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Finding the Fourth Proportional to 5,409,664,245.60, 8,114,496,368.40 and 5,409,664,245.60

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Solution

The fourth proportional to 5,409,664,245.60, 8,114,496,368.40 and 5,409,664,245.60 is: 8,114,496,368.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409,664,245.60 : 8,114,496,368.40 = 5,409,664,245.60 : x
  2. Step 2: Convert to fraction form
    5,409,664,245.60/8,114,496,368.40 = 5,409,664,245.60/x
  3. Step 3: Cross multiply
    5,409,664,245.60x = 8,114,496,368.40 × 5,409,664,245.60
  4. Step 4: Simplify right side
    5,409,664,245.60x = 43,896,700,875,184,529,408
  5. Step 5: Solve for x
    x = 43,896,700,875,184,529,408/5,409,664,245.60
  6. Step 6: Final answer
    x = 8,114,496,368.40

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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.