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Finding the Fourth Proportional to 338,284,967.80, 472,578,588.20 and 338,284,967.80

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Solution

The fourth proportional to 338,284,967.80, 472,578,588.20 and 338,284,967.80 is: 472,578,588.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,284,967.80 : 472,578,588.20 = 338,284,967.80 : x
  2. Step 2: Convert to fraction form
    338,284,967.80/472,578,588.20 = 338,284,967.80/x
  3. Step 3: Cross multiply
    338,284,967.80x = 472,578,588.20 × 338,284,967.80
  4. Step 4: Simplify right side
    338,284,967.80x = 159,866,232,492,206,464
  5. Step 5: Solve for x
    x = 159,866,232,492,206,464/338,284,967.80
  6. Step 6: Final answer
    x = 472,578,588.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.