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Finding the Fourth Proportional to 142,084,007.20, 199,119,164 and 142,084,007.20

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Solution

The fourth proportional to 142,084,007.20, 199,119,164 and 142,084,007.20 is: 199,119,164

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,084,007.20 : 199,119,164 = 142,084,007.20 : x
  2. Step 2: Convert to fraction form
    142,084,007.20/199,119,164 = 142,084,007.20/x
  3. Step 3: Cross multiply
    142,084,007.20x = 199,119,164 × 142,084,007.20
  4. Step 4: Simplify right side
    142,084,007.20x = 28,291,648,731,433,980
  5. Step 5: Solve for x
    x = 28,291,648,731,433,980/142,084,007.20
  6. Step 6: Final answer
    x = 199,119,164

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.