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Finding the Fourth Proportional to 77,682,460,000.40, 116,523,690,000.60 and 77,682,460,000.40

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Solution

The fourth proportional to 77,682,460,000.40, 116,523,690,000.60 and 77,682,460,000.40 is: 116,523,690,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,682,460,000.40 : 116,523,690,000.60 = 77,682,460,000.40 : x
  2. Step 2: Convert to fraction form
    77,682,460,000.40/116,523,690,000.60 = 77,682,460,000.40/x
  3. Step 3: Cross multiply
    77,682,460,000.40x = 116,523,690,000.60 × 77,682,460,000.40
  4. Step 4: Simplify right side
    77,682,460,000.40x = 9,051,846,887,570,619,236,352
  5. Step 5: Solve for x
    x = 9,051,846,887,570,619,236,352/77,682,460,000.40
  6. Step 6: Final answer
    x = 116,523,690,000.60

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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.