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Finding the Fourth Proportional to 358,436,358.40, 537,654,537.60 and 358,436,358.40

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Solution

The fourth proportional to 358,436,358.40, 537,654,537.60 and 358,436,358.40 is: 537,654,537.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,436,358.40 : 537,654,537.60 = 358,436,358.40 : x
  2. Step 2: Convert to fraction form
    358,436,358.40/537,654,537.60 = 358,436,358.40/x
  3. Step 3: Cross multiply
    358,436,358.40x = 537,654,537.60 × 358,436,358.40
  4. Step 4: Simplify right side
    358,436,358.40x = 192,714,934,534,579,872
  5. Step 5: Solve for x
    x = 192,714,934,534,579,872/358,436,358.40
  6. Step 6: Final answer
    x = 537,654,537.60

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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.