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Finding the Fourth Proportional to 244,187,340,234.90, 366,281,010,352.35 and 244,187,340,234.90

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Solution

The fourth proportional to 244,187,340,234.90, 366,281,010,352.35 and 244,187,340,234.90 is: 366,281,010,352.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,187,340,234.90 : 366,281,010,352.35 = 244,187,340,234.90 : x
  2. Step 2: Convert to fraction form
    244,187,340,234.90/366,281,010,352.35 = 244,187,340,234.90/x
  3. Step 3: Cross multiply
    244,187,340,234.90x = 366,281,010,352.35 × 244,187,340,234.90
  4. Step 4: Simplify right side
    244,187,340,234.90x = 89,441,185,696,492,208,259,072
  5. Step 5: Solve for x
    x = 89,441,185,696,492,208,259,072/244,187,340,234.90
  6. Step 6: Final answer
    x = 366,281,010,352.35

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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.