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Finding the Fourth Proportional to 389,546,371,359.60, 584,319,557,039.40 and 389,546,371,359.60

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Solution

The fourth proportional to 389,546,371,359.60, 584,319,557,039.40 and 389,546,371,359.60 is: 584,319,557,039.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,546,371,359.60 : 584,319,557,039.40 = 389,546,371,359.60 : x
  2. Step 2: Convert to fraction form
    389,546,371,359.60/584,319,557,039.40 = 389,546,371,359.60/x
  3. Step 3: Cross multiply
    389,546,371,359.60x = 584,319,557,039.40 × 389,546,371,359.60
  4. Step 4: Simplify right side
    389,546,371,359.60x = 227,619,563,159,147,073,503,232
  5. Step 5: Solve for x
    x = 227,619,563,159,147,073,503,232/389,546,371,359.60
  6. Step 6: Final answer
    x = 584,319,557,039.40

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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.