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Finding the Fourth Proportional to 213,131,895.30, 319,697,842.95 and 213,131,895.30

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Solution

The fourth proportional to 213,131,895.30, 319,697,842.95 and 213,131,895.30 is: 319,697,842.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,131,895.30 : 319,697,842.95 = 213,131,895.30 : x
  2. Step 2: Convert to fraction form
    213,131,895.30/319,697,842.95 = 213,131,895.30/x
  3. Step 3: Cross multiply
    213,131,895.30x = 319,697,842.95 × 213,131,895.30
  4. Step 4: Simplify right side
    213,131,895.30x = 68,137,807,191,255,248
  5. Step 5: Solve for x
    x = 68,137,807,191,255,248/213,131,895.30
  6. Step 6: Final answer
    x = 319,697,842.95

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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.