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Finding the Fourth Proportional to 120,302,496,009.60, 180,453,744,014.40 and 120,302,496,009.60

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Solution

The fourth proportional to 120,302,496,009.60, 180,453,744,014.40 and 120,302,496,009.60 is: 180,453,744,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,302,496,009.60 : 180,453,744,014.40 = 120,302,496,009.60 : x
  2. Step 2: Convert to fraction form
    120,302,496,009.60/180,453,744,014.40 = 120,302,496,009.60/x
  3. Step 3: Cross multiply
    120,302,496,009.60x = 180,453,744,014.40 × 120,302,496,009.60
  4. Step 4: Simplify right side
    120,302,496,009.60x = 21,709,035,819,209,735,536,640
  5. Step 5: Solve for x
    x = 21,709,035,819,209,735,536,640/120,302,496,009.60
  6. Step 6: Final answer
    x = 180,453,744,014.40

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1.5x scale

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.