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Finding the Fourth Proportional to 386,804,535,649.21, 580,206,803,473.83 and 386,804,535,649.21

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Solution

The fourth proportional to 386,804,535,649.21, 580,206,803,473.83 and 386,804,535,649.21 is: 580,206,803,473.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,804,535,649.21 : 580,206,803,473.83 = 386,804,535,649.21 : x
  2. Step 2: Convert to fraction form
    386,804,535,649.21/580,206,803,473.83 = 386,804,535,649.21/x
  3. Step 3: Cross multiply
    386,804,535,649.21x = 580,206,803,473.83 × 386,804,535,649.21
  4. Step 4: Simplify right side
    386,804,535,649.21x = 224,426,623,198,207,246,598,144
  5. Step 5: Solve for x
    x = 224,426,623,198,207,246,598,144/386,804,535,649.21
  6. Step 6: Final answer
    x = 580,206,803,473.83

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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.