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Finding the Fourth Proportional to 490,342,896,003.40, 735,514,344,005.10 and 490,342,896,003.40

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Solution

The fourth proportional to 490,342,896,003.40, 735,514,344,005.10 and 490,342,896,003.40 is: 735,514,344,005.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,342,896,003.40 : 735,514,344,005.10 = 490,342,896,003.40 : x
  2. Step 2: Convert to fraction form
    490,342,896,003.40/735,514,344,005.10 = 490,342,896,003.40/x
  3. Step 3: Cross multiply
    490,342,896,003.40x = 735,514,344,005.10 × 490,342,896,003.40
  4. Step 4: Simplify right side
    490,342,896,003.40x = 360,654,233,491,501,710,573,568
  5. Step 5: Solve for x
    x = 360,654,233,491,501,710,573,568/490,342,896,003.40
  6. Step 6: Final answer
    x = 735,514,344,005.10

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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.