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Finding the Fourth Proportional to 110,008,609,203.60, 165,012,913,805.40 and 110,008,609,203.60

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Solution

The fourth proportional to 110,008,609,203.60, 165,012,913,805.40 and 110,008,609,203.60 is: 165,012,913,805.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,008,609,203.60 : 165,012,913,805.40 = 110,008,609,203.60 : x
  2. Step 2: Convert to fraction form
    110,008,609,203.60/165,012,913,805.40 = 110,008,609,203.60/x
  3. Step 3: Cross multiply
    110,008,609,203.60x = 165,012,913,805.40 × 110,008,609,203.60
  4. Step 4: Simplify right side
    110,008,609,203.60x = 18,152,841,148,365,581,320,192
  5. Step 5: Solve for x
    x = 18,152,841,148,365,581,320,192/110,008,609,203.60
  6. Step 6: Final answer
    x = 165,012,913,805.40

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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.