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Finding the Fourth Proportional to 886,464,000.10, 1,329,696,000.15 and 596,226,355.30

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Solution

The fourth proportional to 886,464,000.10, 1,329,696,000.15 and 596,226,355.30 is: 894,339,532.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    886,464,000.10 : 1,329,696,000.15 = 596,226,355.30 : x
  2. Step 2: Convert to fraction form
    886,464,000.10/1,329,696,000.15 = 596,226,355.30/x
  3. Step 3: Cross multiply
    886,464,000.10x = 1,329,696,000.15 × 596,226,355.30
  4. Step 4: Simplify right side
    886,464,000.10x = 792,799,799,826,422,784
  5. Step 5: Solve for x
    x = 792,799,799,826,422,784/886,464,000.10
  6. Step 6: Final answer
    x = 894,339,532.95

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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.