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Finding the Fourth Proportional to 109,653,770.70, 164,480,656.05 and 97,749,492.30

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Solution

The fourth proportional to 109,653,770.70, 164,480,656.05 and 97,749,492.30 is: 146,624,238.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,653,770.70 : 164,480,656.05 = 97,749,492.30 : x
  2. Step 2: Convert to fraction form
    109,653,770.70/164,480,656.05 = 97,749,492.30/x
  3. Step 3: Cross multiply
    109,653,770.70x = 164,480,656.05 × 97,749,492.30
  4. Step 4: Simplify right side
    109,653,770.70x = 16,077,900,622,058,424
  5. Step 5: Solve for x
    x = 16,077,900,622,058,424/109,653,770.70
  6. Step 6: Final answer
    x = 146,624,238.45

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Why These Related Problems?

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