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Finding the Fourth Proportional to 108,995,055,165.67, 163,492,582,748.51 and 108,995,055,165.67

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Solution

The fourth proportional to 108,995,055,165.67, 163,492,582,748.51 and 108,995,055,165.67 is: 163,492,582,748.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,995,055,165.67 : 163,492,582,748.51 = 108,995,055,165.67 : x
  2. Step 2: Convert to fraction form
    108,995,055,165.67/163,492,582,748.51 = 108,995,055,165.67/x
  3. Step 3: Cross multiply
    108,995,055,165.67x = 163,492,582,748.51 × 108,995,055,165.67
  4. Step 4: Simplify right side
    108,995,055,165.67x = 17,819,883,075,851,715,084,288
  5. Step 5: Solve for x
    x = 17,819,883,075,851,715,084,288/108,995,055,165.67
  6. Step 6: Final answer
    x = 163,492,582,748.51

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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.