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Finding the Fourth Proportional to 769,824,007.70, 1,154,736,011.55 and 715,404,449.30

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Solution

The fourth proportional to 769,824,007.70, 1,154,736,011.55 and 715,404,449.30 is: 1,073,106,673.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,824,007.70 : 1,154,736,011.55 = 715,404,449.30 : x
  2. Step 2: Convert to fraction form
    769,824,007.70/1,154,736,011.55 = 715,404,449.30/x
  3. Step 3: Cross multiply
    769,824,007.70x = 1,154,736,011.55 × 715,404,449.30
  4. Step 4: Simplify right side
    769,824,007.70x = 826,103,280,429,806,080
  5. Step 5: Solve for x
    x = 826,103,280,429,806,080/769,824,007.70
  6. Step 6: Final answer
    x = 1,073,106,673.95

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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.