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Finding the Fourth Proportional to 385,287,001,569.60, 577,930,502,354.40 and 385,287,001,569.60

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Solution

The fourth proportional to 385,287,001,569.60, 577,930,502,354.40 and 385,287,001,569.60 is: 577,930,502,354.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,287,001,569.60 : 577,930,502,354.40 = 385,287,001,569.60 : x
  2. Step 2: Convert to fraction form
    385,287,001,569.60/577,930,502,354.40 = 385,287,001,569.60/x
  3. Step 3: Cross multiply
    385,287,001,569.60x = 577,930,502,354.40 × 385,287,001,569.60
  4. Step 4: Simplify right side
    385,287,001,569.60x = 222,669,110,367,739,422,179,328
  5. Step 5: Solve for x
    x = 222,669,110,367,739,422,179,328/385,287,001,569.60
  6. Step 6: Final answer
    x = 577,930,502,354.40

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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.