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Finding the Fourth Proportional to 782,416,154.80, 1,171,073,315.40 and 782,416,154.80

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Solution

The fourth proportional to 782,416,154.80, 1,171,073,315.40 and 782,416,154.80 is: 1,171,073,315.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,416,154.80 : 1,171,073,315.40 = 782,416,154.80 : x
  2. Step 2: Convert to fraction form
    782,416,154.80/1,171,073,315.40 = 782,416,154.80/x
  3. Step 3: Cross multiply
    782,416,154.80x = 1,171,073,315.40 × 782,416,154.80
  4. Step 4: Simplify right side
    782,416,154.80x = 916,266,680,424,155,648
  5. Step 5: Solve for x
    x = 916,266,680,424,155,648/782,416,154.80
  6. Step 6: Final answer
    x = 1,171,073,315.40

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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.