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Finding the Fourth Proportional to 110,008,653,610.40, 165,012,980,415.60 and 110,008,653,610.40

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Solution

The fourth proportional to 110,008,653,610.40, 165,012,980,415.60 and 110,008,653,610.40 is: 165,012,980,415.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,008,653,610.40 : 165,012,980,415.60 = 110,008,653,610.40 : x
  2. Step 2: Convert to fraction form
    110,008,653,610.40/165,012,980,415.60 = 110,008,653,610.40/x
  3. Step 3: Cross multiply
    110,008,653,610.40x = 165,012,980,415.60 × 110,008,653,610.40
  4. Step 4: Simplify right side
    110,008,653,610.40x = 18,152,855,803,759,459,041,280
  5. Step 5: Solve for x
    x = 18,152,855,803,759,459,041,280/110,008,653,610.40
  6. Step 6: Final answer
    x = 165,012,980,415.60

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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.