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Finding the Fourth Proportional to 364,221,591.60, 511,058,140.80 and 364,221,591.60

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Solution

The fourth proportional to 364,221,591.60, 511,058,140.80 and 364,221,591.60 is: 511,058,140.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,221,591.60 : 511,058,140.80 = 364,221,591.60 : x
  2. Step 2: Convert to fraction form
    364,221,591.60/511,058,140.80 = 364,221,591.60/x
  3. Step 3: Cross multiply
    364,221,591.60x = 511,058,140.80 × 364,221,591.60
  4. Step 4: Simplify right side
    364,221,591.60x = 186,138,409,442,312,928
  5. Step 5: Solve for x
    x = 186,138,409,442,312,928/364,221,591.60
  6. Step 6: Final answer
    x = 511,058,140.80

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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.