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Finding the Fourth Proportional to 475,013,246.40, 712,519,869.60 and 475,013,246.40

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Solution

The fourth proportional to 475,013,246.40, 712,519,869.60 and 475,013,246.40 is: 712,519,869.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,013,246.40 : 712,519,869.60 = 475,013,246.40 : x
  2. Step 2: Convert to fraction form
    475,013,246.40/712,519,869.60 = 475,013,246.40/x
  3. Step 3: Cross multiply
    475,013,246.40x = 712,519,869.60 × 475,013,246.40
  4. Step 4: Simplify right side
    475,013,246.40x = 338,456,376,383,200,640
  5. Step 5: Solve for x
    x = 338,456,376,383,200,640/475,013,246.40
  6. Step 6: Final answer
    x = 712,519,869.60

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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.