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Finding the Fourth Proportional to 445,558,342,980.90, 668,337,514,471.36 and 445,558,342,980.90

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Solution

The fourth proportional to 445,558,342,980.90, 668,337,514,471.36 and 445,558,342,980.90 is: 668,337,514,471.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,558,342,980.90 : 668,337,514,471.36 = 445,558,342,980.90 : x
  2. Step 2: Convert to fraction form
    445,558,342,980.90/668,337,514,471.36 = 445,558,342,980.90/x
  3. Step 3: Cross multiply
    445,558,342,980.90x = 668,337,514,471.36 × 445,558,342,980.90
  4. Step 4: Simplify right side
    445,558,342,980.90x = 297,783,355,499,832,460,443,648
  5. Step 5: Solve for x
    x = 297,783,355,499,832,460,443,648/445,558,342,980.90
  6. Step 6: Final answer
    x = 668,337,514,471.36

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1.5x scale

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.