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Finding the Fourth Proportional to 110,008,287,614.40, 165,012,431,421.60 and 110,008,287,614.40

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Solution

The fourth proportional to 110,008,287,614.40, 165,012,431,421.60 and 110,008,287,614.40 is: 165,012,431,421.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,008,287,614.40 : 165,012,431,421.60 = 110,008,287,614.40 : x
  2. Step 2: Convert to fraction form
    110,008,287,614.40/165,012,431,421.60 = 110,008,287,614.40/x
  3. Step 3: Cross multiply
    110,008,287,614.40x = 165,012,431,421.60 × 110,008,287,614.40
  4. Step 4: Simplify right side
    110,008,287,614.40x = 18,152,735,015,778,828,419,072
  5. Step 5: Solve for x
    x = 18,152,735,015,778,828,419,072/110,008,287,614.40
  6. Step 6: Final answer
    x = 165,012,431,421.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.