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Finding the Fourth Proportional to 162,815,907.60, 228,546,932.40 and 162,815,907.60

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Solution

The fourth proportional to 162,815,907.60, 228,546,932.40 and 162,815,907.60 is: 228,546,932.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,815,907.60 : 228,546,932.40 = 162,815,907.60 : x
  2. Step 2: Convert to fraction form
    162,815,907.60/228,546,932.40 = 162,815,907.60/x
  3. Step 3: Cross multiply
    162,815,907.60x = 228,546,932.40 × 162,815,907.60
  4. Step 4: Simplify right side
    162,815,907.60x = 37,211,076,227,901,848
  5. Step 5: Solve for x
    x = 37,211,076,227,901,848/162,815,907.60
  6. Step 6: Final answer
    x = 228,546,932.40

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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.