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Finding the Fourth Proportional to 769,824,000.20, 1,154,736,000.30 and 715,404,441.80

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Solution

The fourth proportional to 769,824,000.20, 1,154,736,000.30 and 715,404,441.80 is: 1,073,106,662.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,824,000.20 : 1,154,736,000.30 = 715,404,441.80 : x
  2. Step 2: Convert to fraction form
    769,824,000.20/1,154,736,000.30 = 715,404,441.80/x
  3. Step 3: Cross multiply
    769,824,000.20x = 1,154,736,000.30 × 715,404,441.80
  4. Step 4: Simplify right side
    769,824,000.20x = 826,103,263,720,985,984
  5. Step 5: Solve for x
    x = 826,103,263,720,985,984/769,824,000.20
  6. Step 6: Final answer
    x = 1,073,106,662.70

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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.