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Finding the Fourth Proportional to 285,433,970.80, 400,413,774.80 and 285,433,970.80

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Solution

The fourth proportional to 285,433,970.80, 400,413,774.80 and 285,433,970.80 is: 400,413,774.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,433,970.80 : 400,413,774.80 = 285,433,970.80 : x
  2. Step 2: Convert to fraction form
    285,433,970.80/400,413,774.80 = 285,433,970.80/x
  3. Step 3: Cross multiply
    285,433,970.80x = 400,413,774.80 × 285,433,970.80
  4. Step 4: Simplify right side
    285,433,970.80x = 114,291,693,704,180,992
  5. Step 5: Solve for x
    x = 114,291,693,704,180,992/285,433,970.80
  6. Step 6: Final answer
    x = 400,413,774.80

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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.