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Finding the Fourth Proportional to 108,440,388,319.60, 162,660,582,479.40 and 108,440,388,319.60

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Solution

The fourth proportional to 108,440,388,319.60, 162,660,582,479.40 and 108,440,388,319.60 is: 162,660,582,479.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,440,388,319.60 : 162,660,582,479.40 = 108,440,388,319.60 : x
  2. Step 2: Convert to fraction form
    108,440,388,319.60/162,660,582,479.40 = 108,440,388,319.60/x
  3. Step 3: Cross multiply
    108,440,388,319.60x = 162,660,582,479.40 × 108,440,388,319.60
  4. Step 4: Simplify right side
    108,440,388,319.60x = 17,638,976,728,358,459,539,456
  5. Step 5: Solve for x
    x = 17,638,976,728,358,459,539,456/108,440,388,319.60
  6. Step 6: Final answer
    x = 162,660,582,479.40

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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.