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Finding the Fourth Proportional to 445,558,442,712.90, 668,337,664,069.35 and 445,558,442,712.90

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Solution

The fourth proportional to 445,558,442,712.90, 668,337,664,069.35 and 445,558,442,712.90 is: 668,337,664,069.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,558,442,712.90 : 668,337,664,069.35 = 445,558,442,712.90 : x
  2. Step 2: Convert to fraction form
    445,558,442,712.90/668,337,664,069.35 = 445,558,442,712.90/x
  3. Step 3: Cross multiply
    445,558,442,712.90x = 668,337,664,069.35 × 445,558,442,712.90
  4. Step 4: Simplify right side
    445,558,442,712.90x = 297,783,488,809,116,895,281,152
  5. Step 5: Solve for x
    x = 297,783,488,809,116,895,281,152/445,558,442,712.90
  6. Step 6: Final answer
    x = 668,337,664,069.35

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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.