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Finding the Fourth Proportional to 782,293,553.10, 1,096,823,405.70 and 782,293,553.10

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Solution

The fourth proportional to 782,293,553.10, 1,096,823,405.70 and 782,293,553.10 is: 1,096,823,405.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,293,553.10 : 1,096,823,405.70 = 782,293,553.10 : x
  2. Step 2: Convert to fraction form
    782,293,553.10/1,096,823,405.70 = 782,293,553.10/x
  3. Step 3: Cross multiply
    782,293,553.10x = 1,096,823,405.70 × 782,293,553.10
  4. Step 4: Simplify right side
    782,293,553.10x = 858,037,879,168,295,808
  5. Step 5: Solve for x
    x = 858,037,879,168,295,808/782,293,553.10
  6. Step 6: Final answer
    x = 1,096,823,405.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.